114042525313440 has 96 divisors (see below), whose sum is σ = 359313490892160. Its totient is φ = 30404606864384.

The previous prime is 114042525313417. The next prime is 114042525313441. The reversal of 114042525313440 is 44313525240411.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (114042525313441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24131220 + ... + 28467539.

It is an arithmetic number, because the mean of its divisors is an integer number (3742848863460).

Almost surely, 2^{114042525313440} is an apocalyptic number.

114042525313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114042525313440 is an abundant number, since it is smaller than the sum of its proper divisors (245270965578720).

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

114042525313440 is a wasteful number, since it uses less digits than its factorization.

114042525313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52603294 (or 52603286 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 114042525313440 in words is "one hundred fourteen trillion, forty-two billion, five hundred twenty-five million, three hundred thirteen thousand, four hundred forty".