231214034000400 has 120 divisors (see below), whose sum is σ = 807987951589344. Its totient is φ = 56051887027200.

The previous prime is 231214034000393. The next prime is 231214034000401. The reversal of 231214034000400 is 4000430412132.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (231214034000401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8758094149 + ... + 8758120548.

Almost surely, 2^{231214034000400} is an apocalyptic number.

231214034000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231214034000400 is an abundant number, since it is smaller than the sum of its proper divisors (576773917588944).

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

231214034000400 is a wasteful number, since it uses less digits than its factorization.

231214034000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17516214729 (or 17516214718 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 231214034000400 its reverse (4000430412132), we get a palindrome (235214464412532).

The spelling of 231214034000400 in words is "two hundred thirty-one trillion, two hundred fourteen billion, thirty-four million, four hundred", and thus it is an aban number.