431413914024 has 160 divisors (see below), whose sum is σ = 1220643198720. Its totient is φ = 142346018304.

The previous prime is 431413914023. The next prime is 431413914047. The reversal of 431413914024 is 420419314134.

It is a super-2 number, since 2×431413914024² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 431413914024.

It is not an unprimeable number, because it can be changed into a prime (431413914023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63188899 + ... + 63195725.

It is an arithmetic number, because the mean of its divisors is an integer number (7629019992).

Almost surely, 2^431413914024 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 431413914024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610321599360).

431413914024 is an abundant number, since it is smaller than the sum of its proper divisors (789229284696).

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

431413914024 is a wasteful number, since it uses less digits than its factorization.

431413914024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7821 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 431413914024 in words is "four hundred thirty-one billion, four hundred thirteen million, nine hundred fourteen thousand, twenty-four".