114102431242400 has 72 divisors (see below), whose sum is σ = 279311559791040. Its totient is φ = 45516610056960.

The previous prime is 114102431242337. The next prime is 114102431242403. The reversal of 114102431242400 is 4242134201411.

It is not an unprimeable number, because it can be changed into a prime (114102431242403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194022530 + ... + 194609729.

It is an arithmetic number, because the mean of its divisors is an integer number (3879327219320).

Almost surely, 2^{114102431242400} is an apocalyptic number.

114102431242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114102431242400 is an abundant number, since it is smaller than the sum of its proper divisors (165209128548640).

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

114102431242400 is a wasteful number, since it uses less digits than its factorization.

114102431242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388632646 (or 388632633 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 114102431242400 its reverse (4242134201411), we get a palindrome (118344565443811).

The spelling of 114102431242400 in words is "one hundred fourteen trillion, one hundred two billion, four hundred thirty-one million, two hundred forty-two thousand, four hundred".