114324142400 has 84 divisors (see below), whose sum is σ = 302948039772. Its totient is φ = 42211983360.

The previous prime is 114324142381. The next prime is 114324142417. The reversal of 114324142400 is 4241423411.

It can be written as a sum of positive squares in 6 ways, for example, as 48812716096 + 65511426304 = 220936^2 + 255952^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 114324142400.

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, 2727377 + ... + 2768976.

It is an arithmetic number, because the mean of its divisors is an integer number (3606524283).

Almost surely, 2^114324142400 is an apocalyptic number.

114324142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114324142400 is an abundant number, since it is smaller than the sum of its proper divisors (188623897372).

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

114324142400 is a wasteful number, since it uses less digits than its factorization.

114324142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496388 (or 5496373 counting only the distinct ones).

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

Adding to 114324142400 its reverse (4241423411), we get a palindrome (118565565811).

The spelling of 114324142400 in words is "one hundred fourteen billion, three hundred twenty-four million, one hundred forty-two thousand, four hundred".