120484103408640 has 352 divisors, whose sum is σ = 429955543638720. Its totient is φ = 31995769651200.

The previous prime is 120484103408633. The next prime is 120484103408729. The reversal of 120484103408640 is 46804301484021.

120484103408640 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 84 + 103 + 408 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31507630 + ... + 35124050.

It is an arithmetic number, because the mean of its divisors is an integer number (1221464612610).

Almost surely, 2^{120484103408640} is an apocalyptic number.

120484103408640 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 120484103408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214977771819360).

120484103408640 is an abundant number, since it is smaller than the sum of its proper divisors (309471440230080).

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

120484103408640 is a wasteful number, since it uses less digits than its factorization.

120484103408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616696 (or 3616672 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 120484103408640 in words is "one hundred twenty trillion, four hundred eighty-four billion, one hundred three million, four hundred eight thousand, six hundred forty".