431628260910 has 384 divisors, whose sum is σ = 1375266816000. Its totient is φ = 84629318400.

The previous prime is 431628260909. The next prime is 431628260923. The reversal of 431628260910 is 19062826134.

431628260910 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130834441 + ... + 130837739.

It is an arithmetic number, because the mean of its divisors is an integer number (3581424000).

Almost surely, 2^431628260910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431628260910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687633408000).

431628260910 is an abundant number, since it is smaller than the sum of its proper divisors (943638555090).

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

431628260910 is a wasteful number, since it uses less digits than its factorization.

431628260910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 431628260910 in words is "four hundred thirty-one billion, six hundred twenty-eight million, two hundred sixty thousand, nine hundred ten".