232400014400 has 168 divisors, whose sum is σ = 592208736840. Its totient is φ = 89657344000.

The previous prime is 232400014349. The next prime is 232400014421. The reversal of 232400014400 is 4410004232.

It can be written as a sum of positive squares in 12 ways, for example, as 715669504 + 231684344896 = 26752^2 + 481336^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 54796280 + ... + 54800520.

It is an arithmetic number, because the mean of its divisors is an integer number (3525052005).

Almost surely, 2^232400014400 is an apocalyptic number.

232400014400 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 232400014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296104368420).

232400014400 is an abundant number, since it is smaller than the sum of its proper divisors (359808722440).

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

232400014400 is a wasteful number, since it uses less digits than its factorization.

232400014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 232400014400 its reverse (4410004232), we get a palindrome (236810018632).

The spelling of 232400014400 in words is "two hundred thirty-two billion, four hundred million, fourteen thousand, four hundred".