116125435440 has 240 divisors, whose sum is σ = 461070043200. Its totient is φ = 25627650048.

The previous prime is 116125435427. The next prime is 116125435451. The reversal of 116125435440 is 44534521611.

116125435440 is a `hidden beast` number, since 1 + 1 + 61 + 2 + 54 + 3 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×116125435440² (a number of 23 digits) contains 22 as substring.

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 = 116125435395 and 116125435404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251095 + ... + 543414.

It is an arithmetic number, because the mean of its divisors is an integer number (1921125180).

Almost surely, 2^116125435440 is an apocalyptic number.

116125435440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116125435440 is an abundant number, since it is smaller than the sum of its proper divisors (344944607760).

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

116125435440 is a wasteful number, since it uses less digits than its factorization.

116125435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794564 (or 794555 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 116125435440 in words is "one hundred sixteen billion, one hundred twenty-five million, four hundred thirty-five thousand, four hundred forty".