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4042402004440 = 235415927415873
BaseRepresentation
bin111010110100110001111…
…011110111110111011000
3112022110010221112201002001
4322310301323313313120
51012212314403120230
612333015344050344
7565024330046242
oct72646173676730
915273127481061
104042402004440
111319411601148
125535403039b4
132342736b90a7
14dd92092d092
15702437b20ca
hex3ad31ef7dd8

4042402004440 has 64 divisors (see below), whose sum is σ = 9318838052160. Its totient is φ = 1577252782080.

The previous prime is 4042402004387. The next prime is 4042402004453. The reversal of 4042402004440 is 444002042404.

It is a junction number, because it is equal to n+sod(n) for n = 4042402004399 and 4042402004408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9512344 + ... + 9928216.

It is an arithmetic number, because the mean of its divisors is an integer number (145606844565).

Almost surely, 24042402004440 is an apocalyptic number.

4042402004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042402004440 is an abundant number, since it is smaller than the sum of its proper divisors (5276436047720).

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

4042402004440 is a wasteful number, since it uses less digits than its factorization.

4042402004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421852 (or 421848 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4042402004440 its reverse (444002042404), we get a palindrome (4486404046844).

The spelling of 4042402004440 in words is "four trillion, forty-two billion, four hundred two million, four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 5927 11854 23708 29635 47416 59270 118540 237080 243007 415873 486014 831746 972028 1215035 1663492 1944056 2079365 2430070 3326984 4158730 4860140 8317460 9720280 16634920 17050793 34101586 68203172 85253965 136406344 170507930 341015860 682031720 2464879271 4929758542 9859517084 12324396355 19719034168 24648792710 49297585420 98595170840 101060050111 202120100222 404240200444 505300250555 808480400888 1010600501110 2021201002220 4042402004440