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400422044040 = 23357345710279
BaseRepresentation
bin1011101001110110000…
…00111000000110001000
31102021120002201102120120
411310323000320012020
523030031020402130
6503541254023240
740633555134054
oct5647300700610
91367502642516
10400422044040
111448aa894327
1265730647b20
132b9b4bca545
1415548264c64
15a6389b3910
hex5d3b038188

400422044040 has 64 divisors (see below), whose sum is σ = 1217721859200. Its totient is φ = 105316480512.

The previous prime is 400422044017. The next prime is 400422044041. The reversal of 400422044040 is 40440224004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400422044040.

It is not an unprimeable number, because it can be changed into a prime (400422044041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22846380 + ... + 22863899.

It is an arithmetic number, because the mean of its divisors is an integer number (19026904050).

Almost surely, 2400422044040 is an apocalyptic number.

400422044040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400422044040 is an abundant number, since it is smaller than the sum of its proper divisors (817299815160).

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

400422044040 is a wasteful number, since it uses less digits than its factorization.

400422044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45710366 (or 45710362 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 400422044040 its reverse (40440224004), we get a palindrome (440862268044).

The spelling of 400422044040 in words is "four hundred billion, four hundred twenty-two million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 45710279 91420558 137130837 182841116 228551395 274261674 365682232 457102790 548523348 685654185 914205580 1097046696 1371308370 1828411160 2742616740 3336850367 5485233480 6673700734 10010551101 13347401468 16684251835 20021102202 26694802936 33368503670 40042204404 50052755505 66737007340 80084408808 100105511010 133474014680 200211022020 400422044040