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4004040020420 = 22511234716836431
BaseRepresentation
bin111010010001000011011…
…000100001000111000100
3112011210010102201000002002
4322101003120201013010
51011100233221123140
612303233001404432
7562165562421236
oct72210330410704
915153112630062
104004040020420
11130411622a820
12548014a99718
1323076bac006b
14dbb21b10256
156e24a9d8415
hex3a4436211c4

4004040020420 has 96 divisors (see below), whose sum is σ = 9775367110656. Its totient is φ = 1363077372800.

The previous prime is 4004040020401. The next prime is 4004040020423. The reversal of 4004040020420 is 240200404004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4004040020392 and 4004040020401.

It is not an unprimeable number, because it can be changed into a prime (4004040020423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8180396 + ... + 8656035.

It is an arithmetic number, because the mean of its divisors is an integer number (101826740736).

Almost surely, 24004040020420 is an apocalyptic number.

It is an amenable number.

4004040020420 is an abundant number, since it is smaller than the sum of its proper divisors (5771327090236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4004040020420 is a wasteful number, since it uses less digits than its factorization.

4004040020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16836521 (or 16836519 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4004040020420 its reverse (240200404004), we get a palindrome (4244240424424).

The spelling of 4004040020420 in words is "four trillion, four billion, forty million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 47 55 92 94 110 115 188 220 230 235 253 460 470 506 517 940 1012 1034 1081 1265 2068 2162 2530 2585 4324 5060 5170 5405 10340 10810 11891 21620 23782 47564 59455 118910 237820 16836431 33672862 67345724 84182155 168364310 185200741 336728620 370401482 387237913 740802964 774475826 791312257 926003705 1548951652 1582624514 1852007410 1936189565 3165249028 3704014820 3872379130 3956561285 4259617043 7744758260 7913122570 8519234086 8704434827 15826245140 17038468172 17408869654 18200181911 21298085215 34817739308 36400363822 42596170430 43522174135 72800727644 85192340860 87044348270 91000909555 174088696540 182001819110 200202001021 364003638220 400404002042 800808004084 1001010005105 2002020010210 4004040020420