114977395440 has 120 divisors (see below), whose sum is σ = 398588381568. Its totient is φ = 29671580160.

The previous prime is 114977395411. The next prime is 114977395453. The reversal of 114977395440 is 44593779411.

114977395440 is a `hidden beast` number, since 1 + 1 + 4 + 97 + 7 + 3 + 9 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×114977395440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2553339 + ... + 2597978.

Almost surely, 2^114977395440 is an apocalyptic number.

114977395440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114977395440 is an abundant number, since it is smaller than the sum of its proper divisors (283610986128).

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

114977395440 is a wasteful number, since it uses less digits than its factorization.

114977395440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151367 (or 5151358 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 114977395440 in words is "one hundred fourteen billion, nine hundred seventy-seven million, three hundred ninety-five thousand, four hundred forty".