424100309617920 has 216 divisors, whose sum is σ = 1466675011611936. Its totient is φ = 104393922207744.

The previous prime is 424100309617903. The next prime is 424100309617969. The reversal of 424100309617920 is 29716903001424.

It is a super-2 number, since 2×424100309617920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 424100309617920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326104854 + ... + 327402773.

It is an arithmetic number, because the mean of its divisors is an integer number (6790162090796).

Almost surely, 2^{424100309617920} is an apocalyptic number.

424100309617920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424100309617920 is an abundant number, since it is smaller than the sum of its proper divisors (1042574701994016).

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

424100309617920 is a wasteful number, since it uses less digits than its factorization.

424100309617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653507677 (or 653507650 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 424100309617920 in words is "four hundred twenty-four trillion, one hundred billion, three hundred nine million, six hundred seventeen thousand, nine hundred twenty".