114030776640 has 224 divisors, whose sum is σ = 396507394944. Its totient is φ = 27535605760.

The previous prime is 114030776627. The next prime is 114030776653. The reversal of 114030776640 is 46677030411.

It is an interprime number because it is at equal distance from previous prime (114030776627) and next prime (114030776653).

It is a super-2 number, since 2×114030776640² (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 31 ways as a sum of consecutive naturals, for example, 2692912 + ... + 2734928.

Almost surely, 2^114030776640 is an apocalyptic number.

114030776640 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 114030776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198253697472).

114030776640 is an abundant number, since it is smaller than the sum of its proper divisors (282476618304).

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

114030776640 is a wasteful number, since it uses less digits than its factorization.

114030776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42305 (or 42295 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 114030776640 in words is "one hundred fourteen billion, thirty million, seven hundred seventy-six thousand, six hundred forty".