431415955456 has 104 divisors (see below), whose sum is σ = 888124901720. Its totient is φ = 209385160704.

The previous prime is 431415955447. The next prime is 431415955469. The reversal of 431415955456 is 654559514134.

It can be written as a sum of positive squares in 4 ways, for example, as 233853485056 + 197562470400 = 483584^2 + 444480^2 .

It is a super-2 number, since 2×431415955456² (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 7 ways as a sum of consecutive naturals, for example, 69256150 + ... + 69262378.

Almost surely, 2^431415955456 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 431415955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444062450860).

431415955456 is an abundant number, since it is smaller than the sum of its proper divisors (456708946264).

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

431415955456 is an equidigital number, since it uses as much as digits as its factorization.

431415955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747 (or 6725 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 52.

The spelling of 431415955456 in words is "four hundred thirty-one billion, four hundred fifteen million, nine hundred fifty-five thousand, four hundred fifty-six".