114415552240 has 80 divisors (see below), whose sum is σ = 291414205440. Its totient is φ = 41431496960.

The previous prime is 114415552231. The next prime is 114415552247. The reversal of 114415552240 is 42255514411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 114415552196 and 114415552205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114415552247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61684 + ... + 482323.

It is an arithmetic number, because the mean of its divisors is an integer number (3642677568).

Almost surely, 2^114415552240 is an apocalyptic number.

114415552240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114415552240 is an abundant number, since it is smaller than the sum of its proper divisors (176998653200).

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

114415552240 is a wasteful number, since it uses less digits than its factorization.

114415552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544270 (or 544264 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

The spelling of 114415552240 in words is "one hundred fourteen billion, four hundred fifteen million, five hundred fifty-two thousand, two hundred forty".