233114050400400 has 360 divisors, whose sum is σ = 871223801302400. Its totient is φ = 57380287196160.

The previous prime is 233114050400359. The next prime is 233114050400411. The reversal of 233114050400400 is 4004050411332.

It is a happy number.

233114050400400 is a `hidden beast` number, since 2 + 3 + 3 + 114 + 0 + 504 + 0 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3013834527 + ... + 3013911873.

Almost surely, 2^{233114050400400} is an apocalyptic number.

233114050400400 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 233114050400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435611900651200).

233114050400400 is an abundant number, since it is smaller than the sum of its proper divisors (638109750902000).

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

233114050400400 is a wasteful number, since it uses less digits than its factorization.

233114050400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141783 (or 141769 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 233114050400400 in words is "two hundred thirty-three trillion, one hundred fourteen billion, fifty million, four hundred thousand, four hundred".