114399367034400 has 1728 divisors, whose sum is σ = 507300330700800. Its totient is φ = 23669148672000.

The previous prime is 114399367034389. The next prime is 114399367034437. The reversal of 114399367034400 is 4430763993411.

114399367034400 is a `hidden beast` number, since 1 + 1 + 43 + 9 + 93 + 6 + 70 + 3 + 440 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2345138010 + ... + 2345186790.

Almost surely, 2^{114399367034400} is an apocalyptic number.

114399367034400 is a gapful number since it is divisible by the number (10) 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 114399367034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253650165350400).

114399367034400 is an abundant number, since it is smaller than the sum of its proper divisors (392900963666400).

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

114399367034400 is a wasteful number, since it uses less digits than its factorization.

114399367034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48943 (or 48927 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 114399367034400 in words is "one hundred fourteen trillion, three hundred ninety-nine billion, three hundred sixty-seven million, thirty-four thousand, four hundred".