431420476644 has 336 divisors, whose sum is σ = 1258632345600. Its totient is φ = 128713033152.

The previous prime is 431420476637. The next prime is 431420476657. The reversal of 431420476644 is 446674024134.

431420476644 is a `hidden beast` number, since 4 + 314 + 204 + 76 + 64 + 4 = 666.

It is a super-2 number, since 2×431420476644² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431420476644.

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 111 ways as a sum of consecutive naturals, for example, 105764197 + ... + 105768275.

It is an arithmetic number, because the mean of its divisors is an integer number (3745929600).

Almost surely, 2^431420476644 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 431420476644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629316172800).

431420476644 is an abundant number, since it is smaller than the sum of its proper divisors (827211868956).

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

431420476644 is a wasteful number, since it uses less digits than its factorization.

431420476644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 431420476644 in words is "four hundred thirty-one billion, four hundred twenty million, four hundred seventy-six thousand, six hundred forty-four".