114205023540400 has 120 divisors (see below), whose sum is σ = 312864920613504. Its totient is φ = 39687537561600.

The previous prime is 114205023540371. The next prime is 114205023540409. The reversal of 114205023540400 is 4045320502411.

It is not an unprimeable number, because it can be changed into a prime (114205023540409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645867616 + ... + 646044415.

Almost surely, 2^{114205023540400} is an apocalyptic number.

114205023540400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114205023540400 is an abundant number, since it is smaller than the sum of its proper divisors (198659897073104).

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

114205023540400 is a wasteful number, since it uses less digits than its factorization.

114205023540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291912079 (or 1291912068 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 114205023540400 in words is "one hundred fourteen trillion, two hundred five billion, twenty-three million, five hundred forty thousand, four hundred".