120395756844 has 144 divisors (see below), whose sum is σ = 334554764544. Its totient is φ = 36203932800.

The previous prime is 120395756837. The next prime is 120395756879. The reversal of 120395756844 is 448657593021.

It is a happy number.

120395756844 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 9 + 575 + 68 + 4 + 4 = 666.

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, 31164457 + ... + 31168319.

It is an arithmetic number, because the mean of its divisors is an integer number (2323296976).

It is a 2-persistent number, because it is pandigital, and so is 2⋅120395756844 = 240791513688, but 3⋅120395756844 = 361187270532 is not.

Almost surely, 2^120395756844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120395756844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167277382272).

120395756844 is an abundant number, since it is smaller than the sum of its proper divisors (214159007700).

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

120395756844 is a wasteful number, since it uses less digits than its factorization.

120395756844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 120395756844 in words is "one hundred twenty billion, three hundred ninety-five million, seven hundred fifty-six thousand, eight hundred forty-four".