426513640752 has 240 divisors, whose sum is σ = 1251250584480. Its totient is φ = 135478407168.

The previous prime is 426513640733. The next prime is 426513640831. The reversal of 426513640752 is 257046315624.

426513640752 is a `hidden beast` number, since 4 + 2 + 6 + 513 + 64 + 0 + 75 + 2 = 666.

It is a super-2 number, since 2×426513640752² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 426513640698 and 426513640707.

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, 228447723 + ... + 228449589.

It is an arithmetic number, because the mean of its divisors is an integer number (5213544102).

Almost surely, 2^426513640752 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 426513640752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625625292240).

426513640752 is an abundant number, since it is smaller than the sum of its proper divisors (824736943728).

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

426513640752 is a wasteful number, since it uses less digits than its factorization.

426513640752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 426513640752 in words is "four hundred twenty-six billion, five hundred thirteen million, six hundred forty thousand, seven hundred fifty-two".