1957408057476 has 81 divisors (see below), whose sum is σ = 4973036947333. Its totient is φ = 649170336000.

The previous prime is 1957408057459. The next prime is 1957408057477. The reversal of 1957408057476 is 6747508047591.

The square root of 1957408057476 is 1399074.

It is a perfect power (a square), and thus also a powerful number.

1957408057476 is a `hidden beast` number, since 1 + 9 + 57 + 4 + 0 + 8 + 0 + 574 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37742387076 + 1919665670400 = 194274^2 + 1385520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1957408057477) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2107004980 + ... + 2107005908.

Almost surely, 2^{1957408057476} is an apocalyptic number.

1957408057476 is the 1399074-th square number.

It is an amenable number.

1957408057476 is an abundant number, since it is smaller than the sum of its proper divisors (3015628889857).

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

1957408057476 is an frugal number, since it uses more digits than its factorization.

1957408057476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 1957408057476 in words is "one trillion, nine hundred fifty-seven billion, four hundred eight million, fifty-seven thousand, four hundred seventy-six".