114134014400 has 504 divisors, whose sum is σ = 340555917312. Its totient is φ = 37497600000.

The previous prime is 114134014399. The next prime is 114134014433. The reversal of 114134014400 is 4410431411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 366990245 + ... + 366990555.

Almost surely, 2^114134014400 is an apocalyptic number.

114134014400 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 114134014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170277958656).

114134014400 is an abundant number, since it is smaller than the sum of its proper divisors (226421902912).

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

114134014400 is a wasteful number, since it uses less digits than its factorization.

114134014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 114134014400 its reverse (4410431411), we get a palindrome (118544445811).

The spelling of 114134014400 in words is "one hundred fourteen billion, one hundred thirty-four million, fourteen thousand, four hundred".