114132410400 has 144 divisors (see below), whose sum is σ = 393354136224. Its totient is φ = 28644986880.

The previous prime is 114132410351. The next prime is 114132410453. The reversal of 114132410400 is 4014231411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357882 + ... + 1439481.

It is an arithmetic number, because the mean of its divisors is an integer number (2731625946).

Almost surely, 2^114132410400 is an apocalyptic number.

114132410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114132410400 is an abundant number, since it is smaller than the sum of its proper divisors (279221725824).

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

114132410400 is a wasteful number, since it uses less digits than its factorization.

114132410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797403 (or 2797390 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 114132410400 its reverse (4014231411), we get a palindrome (118146641811).

The spelling of 114132410400 in words is "one hundred fourteen billion, one hundred thirty-two million, four hundred ten thousand, four hundred".