114985387440 has 1440 divisors, whose sum is σ = 537653712960. Its totient is φ = 21676032000.

The previous prime is 114985387409. The next prime is 114985387511. The reversal of 114985387440 is 44783589411.

114985387440 is a `hidden beast` number, since 1 + 1 + 49 + 85 + 3 + 87 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 191323140 + ... + 191323740.

It is an arithmetic number, because the mean of its divisors is an integer number (373370634).

Almost surely, 2^114985387440 is an apocalyptic number.

114985387440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114985387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268826856480).

114985387440 is an abundant number, since it is smaller than the sum of its proper divisors (422668325520).

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

114985387440 is a wasteful number, since it uses less digits than its factorization.

114985387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 114985387440 in words is "one hundred fourteen billion, nine hundred eighty-five million, three hundred eighty-seven thousand, four hundred forty".