426549076128 has 288 divisors, whose sum is σ = 1461156278400. Its totient is φ = 115447707648.

The previous prime is 426549076103. The next prime is 426549076171. The reversal of 426549076128 is 821670945624.

426549076128 is a `hidden beast` number, since 4 + 2 + 6 + 549 + 0 + 76 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×426549076128² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3029763 + ... + 3167421.

It is an arithmetic number, because the mean of its divisors is an integer number (5073459300).

Almost surely, 2^426549076128 is an apocalyptic number.

426549076128 is a gapful number since it is divisible by the number (48) 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 426549076128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730578139200).

426549076128 is an abundant number, since it is smaller than the sum of its proper divisors (1034607202272).

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

426549076128 is a wasteful number, since it uses less digits than its factorization.

426549076128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137764 (or 137753 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 426549076128 in words is "four hundred twenty-six billion, five hundred forty-nine million, seventy-six thousand, one hundred twenty-eight".