424334938257152 has 288 divisors, whose sum is σ = 984870834024000. Its totient is φ = 180823069163520.

The previous prime is 424334938257143. The next prime is 424334938257199. The reversal of 424334938257152 is 251752839433424.

It is a super-2 number, since 2×424334938257152² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419924924 + ... + 420934212.

Almost surely, 2^{424334938257152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424334938257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492435417012000).

424334938257152 is an abundant number, since it is smaller than the sum of its proper divisors (560535895766848).

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

424334938257152 is a wasteful number, since it uses less digits than its factorization.

424334938257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009507 (or 1009493 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 62.

The spelling of 424334938257152 in words is "four hundred twenty-four trillion, three hundred thirty-four billion, nine hundred thirty-eight million, two hundred fifty-seven thousand, one hundred fifty-two".