231431431242000 has 640 divisors, whose sum is σ = 817524955054080. Its totient is φ = 55859781120000.

The previous prime is 231431431241999. The next prime is 231431431242013. The reversal of 231431431242000 is 242134134132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14407725969 + ... + 14407742031.

It is an arithmetic number, because the mean of its divisors is an integer number (1277382742272).

Almost surely, 2^{231431431242000} is an apocalyptic number.

231431431242000 is a gapful number since it is divisible by the number (20) 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 231431431242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408762477527040).

231431431242000 is an abundant number, since it is smaller than the sum of its proper divisors (586093523812080).

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

231431431242000 is a wasteful number, since it uses less digits than its factorization.

231431431242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17040 (or 17024 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 231431431242000 its reverse (242134134132), we get a palindrome (231673565376132).

The spelling of 231431431242000 in words is "two hundred thirty-one trillion, four hundred thirty-one billion, four hundred thirty-one million, two hundred forty-two thousand".