234027878400 has 1152 divisors, whose sum is σ = 915141427200. Its totient is φ = 58525286400.

The previous prime is 234027878377. The next prime is 234027878503. The reversal of 234027878400 is 4878720432.

234027878400 is a `hidden beast` number, since 234 + 0 + 2 + 7 + 8 + 7 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1842739137 + ... + 1842739263.

It is an arithmetic number, because the mean of its divisors is an integer number (794393600).

Almost surely, 2^234027878400 is an apocalyptic number.

234027878400 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 234027878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457570713600).

234027878400 is an abundant number, since it is smaller than the sum of its proper divisors (681113548800).

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

234027878400 is a wasteful number, since it uses less digits than its factorization.

234027878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 234027878400 in words is "two hundred thirty-four billion, twenty-seven million, eight hundred seventy-eight thousand, four hundred".