233402120304400 has 30 divisors (see below), whose sum is σ = 560748594032282. Its totient is φ = 93360848121600.

The previous prime is 233402120304391. The next prime is 233402120304401. The reversal of 233402120304400 is 4403021204332.

It can be written as a sum of positive squares in 3 ways, for example, as 73229505515776 + 160172614788624 = 8557424^2 + 12655932^2 .

It is a super-2 number, since 2×233402120304400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233402120304401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291752649981 + ... + 291752650780.

Almost surely, 2^{233402120304400} is an apocalyptic number.

233402120304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233402120304400 is an abundant number, since it is smaller than the sum of its proper divisors (327346473727882).

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

233402120304400 is a wasteful number, since it uses less digits than its factorization.

233402120304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583505300779 (or 583505300768 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 233402120304400 its reverse (4403021204332), we get a palindrome (237805141508732).

The spelling of 233402120304400 in words is "two hundred thirty-three trillion, four hundred two billion, one hundred twenty million, three hundred four thousand, four hundred".