114075440640 has 640 divisors, whose sum is σ = 487504512000. Its totient is φ = 24700059648.

The previous prime is 114075440623. The next prime is 114075440653. The reversal of 114075440640 is 46044570411.

It is a happy number.

114075440640 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 7 + 5 + 4 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114075440595 and 114075440604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9186756 + ... + 9199164.

It is an arithmetic number, because the mean of its divisors is an integer number (761725800).

Almost surely, 2^114075440640 is an apocalyptic number.

114075440640 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 114075440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243752256000).

114075440640 is an abundant number, since it is smaller than the sum of its proper divisors (373429071360).

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

114075440640 is a wasteful number, since it uses less digits than its factorization.

114075440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12467 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 114075440640 in words is "one hundred fourteen billion, seventy-five million, four hundred forty thousand, six hundred forty".