431690772240 has 1600 divisors, whose sum is σ = 1972244601600. Its totient is φ = 86032171008.

The previous prime is 431690772239. The next prime is 431690772269. The reversal of 431690772240 is 42277096134.

431690772240 is a `hidden beast` number, since 4 + 316 + 90 + 7 + 7 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1280981352 + ... + 1280981688.

It is an arithmetic number, because the mean of its divisors is an integer number (1232652876).

Almost surely, 2^431690772240 is an apocalyptic number.

431690772240 is a gapful number since it is divisible by the number (40) 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 431690772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986122300800).

431690772240 is an abundant number, since it is smaller than the sum of its proper divisors (1540553829360).

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

431690772240 is a wasteful number, since it uses less digits than its factorization.

431690772240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 431690772240 in words is "four hundred thirty-one billion, six hundred ninety million, seven hundred seventy-two thousand, two hundred forty".