431255621104 has 320 divisors, whose sum is σ = 1127434125312. Its totient is φ = 154673971200.

The previous prime is 431255621081. The next prime is 431255621117. The reversal of 431255621104 is 401126552134.

It is a super-3 number, since 3×431255621104³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 431255621104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194170714 + ... + 194172934.

Almost surely, 2^431255621104 is an apocalyptic number.

431255621104 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 431255621104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563717062656).

431255621104 is an abundant number, since it is smaller than the sum of its proper divisors (696178504208).

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

431255621104 is a wasteful number, since it uses less digits than its factorization.

431255621104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 431255621104 in words is "four hundred thirty-one billion, two hundred fifty-five million, six hundred twenty-one thousand, one hundred four".