431442416672 has 96 divisors (see below), whose sum is σ = 902981560320. Its totient is φ = 202560445440.

The previous prime is 431442416663. The next prime is 431442416731. The reversal of 431442416672 is 276614244134.

It is a super-2 number, since 2×431442416672² (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 15 ways as a sum of consecutive naturals, for example, 13454354 + ... + 13486382.

It is an arithmetic number, because the mean of its divisors is an integer number (9406057920).

Almost surely, 2^431442416672 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 431442416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451490780160).

431442416672 is an abundant number, since it is smaller than the sum of its proper divisors (471539143648).

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

431442416672 is a wasteful number, since it uses less digits than its factorization.

431442416672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32474 (or 32466 counting only the distinct ones).

The product of its digits is 774144, while the sum is 44.

The spelling of 431442416672 in words is "four hundred thirty-one billion, four hundred forty-two million, four hundred sixteen thousand, six hundred seventy-two".