426538524672000 has 2720 divisors, whose sum is σ = 1728265053138624. Its totient is φ = 104044953600000.

The previous prime is 426538524671999. The next prime is 426538524672061. The reversal of 426538524672000 is 276425835624.

426538524672000 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 38 + 524 + 67 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×426538524672000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1699356671875 + ... + 1699356672125.

Almost surely, 2^{426538524672000} is an apocalyptic number.

426538524672000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426538524672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864132526569312).

426538524672000 is an abundant number, since it is smaller than the sum of its proper divisors (1301726528466624).

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

426538524672000 is an equidigital number, since it uses as much as digits as its factorization.

426538524672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 426538524672000 in words is "four hundred twenty-six trillion, five hundred thirty-eight billion, five hundred twenty-four million, six hundred seventy-two thousand".