114312200242400 has 72 divisors (see below), whose sum is σ = 288066744673344. Its totient is φ = 44249883955200.

The previous prime is 114312200242351. The next prime is 114312200242451. The reversal of 114312200242400 is 4242002213411.

It is a self number, because there is not a number n which added to its sum of digits gives 114312200242400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2304656657 + ... + 2304706256.

It is an arithmetic number, because the mean of its divisors is an integer number (4000927009352).

Almost surely, 2^{114312200242400} is an apocalyptic number.

114312200242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114312200242400 is an abundant number, since it is smaller than the sum of its proper divisors (173754544430944).

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

114312200242400 is a wasteful number, since it uses less digits than its factorization.

114312200242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4609362964 (or 4609362951 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 114312200242400 its reverse (4242002213411), we get a palindrome (118554202455811).

The spelling of 114312200242400 in words is "one hundred fourteen trillion, three hundred twelve billion, two hundred million, two hundred forty-two thousand, four hundred".