431157100000 has 144 divisors (see below), whose sum is σ = 1157438700432. Its totient is φ = 156784000000.

The previous prime is 431157099977. The next prime is 431157100013. The reversal of 431157100000 is 1751134.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904020 + ... + 1295980.

It is an arithmetic number, because the mean of its divisors is an integer number (8037768753).

Almost surely, 2^431157100000 is an apocalyptic number.

431157100000 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 431157100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578719350216).

431157100000 is an abundant number, since it is smaller than the sum of its proper divisors (726281600432).

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

431157100000 is an equidigital number, since it uses as much as digits as its factorization.

431157100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392007 (or 391979 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

Adding to 431157100000 its reverse (1751134), we get a palindrome (431158851134).

The spelling of 431157100000 in words is "four hundred thirty-one billion, one hundred fifty-seven million, one hundred thousand".