431764401904 has 80 divisors (see below), whose sum is σ = 936806469120. Its totient is φ = 191117422080.

The previous prime is 431764401869. The next prime is 431764401917. The reversal of 431764401904 is 409104467134.

It is a congruent number.

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, 802299 + ... + 1227685.

It is an arithmetic number, because the mean of its divisors is an integer number (11710080864).

Almost surely, 2^431764401904 is an apocalyptic number.

431764401904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431764401904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468403234560).

431764401904 is an abundant number, since it is smaller than the sum of its proper divisors (505042067216).

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

431764401904 is a wasteful number, since it uses less digits than its factorization.

431764401904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425558 (or 425552 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 431764401904 in words is "four hundred thirty-one billion, seven hundred sixty-four million, four hundred one thousand, nine hundred four".