431701734844416 has 384 divisors, whose sum is σ = 1202945690419200. Its totient is φ = 137520214179840.

The previous prime is 431701734844403. The next prime is 431701734844441. The reversal of 431701734844416 is 614448437107134.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7042756680 + ... + 7042817976.

It is an arithmetic number, because the mean of its divisors is an integer number (3132671068800).

Almost surely, 2^{431701734844416} 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 431701734844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601472845209600).

431701734844416 is an abundant number, since it is smaller than the sum of its proper divisors (771243955574784).

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

431701734844416 is a wasteful number, since it uses less digits than its factorization.

431701734844416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61815 (or 61795 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 431701734844416 in words is "four hundred thirty-one trillion, seven hundred one billion, seven hundred thirty-four million, eight hundred forty-four thousand, four hundred sixteen".