234133412400 has 180 divisors, whose sum is σ = 817890724560. Its totient is φ = 62021952000.

The previous prime is 234133412371. The next prime is 234133412417. The reversal of 234133412400 is 4214331432.

234133412400 is a `hidden beast` number, since 2 + 3 + 413 + 3 + 4 + 1 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328246 + ... + 758954.

Almost surely, 2^234133412400 is an apocalyptic number.

234133412400 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 234133412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408945362280).

234133412400 is an abundant number, since it is smaller than the sum of its proper divisors (583757312160).

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

234133412400 is a wasteful number, since it uses less digits than its factorization.

234133412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430884 (or 430870 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 234133412400 its reverse (4214331432), we get a palindrome (238347743832).

The spelling of 234133412400 in words is "two hundred thirty-four billion, one hundred thirty-three million, four hundred twelve thousand, four hundred".