2120407413957 has 72 divisors (see below), whose sum is σ = 3686312424600. Its totient is φ = 1169691522048.

The previous prime is 2120407413953. The next prime is 2120407413973. The reversal of 2120407413957 is 7593147040212.

2120407413957 is a `hidden beast` number, since 2 + 120 + 407 + 41 + 39 + 57 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 413096711076 + 1707310702881 = 642726^2 + 1306641^2 .

It is not a de Polignac number, because 2120407413957 - 2² = 2120407413953 is a prime.

It is a super-2 number, since 2×2120407413957² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120407413953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125541169 + ... + 125558057.

It is an arithmetic number, because the mean of its divisors is an integer number (51198783675).

Almost surely, 2^{2120407413957} is an apocalyptic number.

It is an amenable number.

2120407413957 is a deficient number, since it is larger than the sum of its proper divisors (1565905010643).

2120407413957 is a wasteful number, since it uses less digits than its factorization.

2120407413957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26755 (or 26745 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2120407413957 in words is "two trillion, one hundred twenty billion, four hundred seven million, four hundred thirteen thousand, nine hundred fifty-seven".