426937900032 has 660 divisors, whose sum is σ = 1504431023040. Its totient is φ = 120227659776.

The previous prime is 426937900027. The next prime is 426937900079. The reversal of 426937900032 is 230009739624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 296689969 + ... + 296691407.

It is an arithmetic number, because the mean of its divisors is an integer number (2279440944).

Almost surely, 2^426937900032 is an apocalyptic number.

426937900032 is a gapful number since it is divisible by the number (42) 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 426937900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752215511520).

426937900032 is an abundant number, since it is smaller than the sum of its proper divisors (1077493123008).

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

426937900032 is a wasteful number, since it uses less digits than its factorization.

426937900032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 426937900032 in words is "four hundred twenty-six billion, nine hundred thirty-seven million, nine hundred thousand, thirty-two".