120086056440 has 512 divisors, whose sum is σ = 483570432000. Its totient is φ = 25894453248.

The previous prime is 120086056417. The next prime is 120086056483. The reversal of 120086056440 is 44650680021.

120086056440 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 8 + 6 + 0 + 5 + 644 + 0 = 666.

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 = 120086056395 and 120086056404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36913854 + ... + 36917106.

It is an arithmetic number, because the mean of its divisors is an integer number (944473500).

Almost surely, 2^120086056440 is an apocalyptic number.

120086056440 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 120086056440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241785216000).

120086056440 is an abundant number, since it is smaller than the sum of its proper divisors (363484375560).

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

120086056440 is a wasteful number, since it uses less digits than its factorization.

120086056440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 120086056440 in words is "one hundred twenty billion, eighty-six million, fifty-six thousand, four hundred forty".