234113972400 has 720 divisors, whose sum is σ = 1047876860160. Its totient is φ = 46967961600.

The previous prime is 234113972369. The next prime is 234113972459. The reversal of 234113972400 is 4279311432.

It is a happy number.

234113972400 is a `hidden beast` number, since 23 + 4 + 1 + 1 + 397 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8024239 + ... + 8053361.

It is an arithmetic number, because the mean of its divisors is an integer number (1455384528).

Almost surely, 2^234113972400 is an apocalyptic number.

234113972400 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 234113972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523938430080).

234113972400 is an abundant number, since it is smaller than the sum of its proper divisors (813762887760).

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

234113972400 is a wasteful number, since it uses less digits than its factorization.

234113972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29194 (or 29180 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 234113972400 in words is "two hundred thirty-four billion, one hundred thirteen million, nine hundred seventy-two thousand, four hundred".