42957026413921 has 9 divisors (see below), whose sum is σ = 43027198127641. Its totient is φ = 42886968986992.

The previous prime is 42957026413879. The next prime is 42957026413933. The reversal of 42957026413921 is 12931462075924.

The square root of 42957026413921 is 6554161.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8150802311521 + 34806224102400 = 2854961^2 + 5899680^2 .

It is not a de Polignac number, because 42957026413921 - 2²⁷ = 42956892196193 is a prime.

It is a super-2 number, since 2×42957026413921² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42957026413981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4279862115 + ... + 4279872151.

Almost surely, 2^{42957026413921} is an apocalyptic number.

42957026413921 is the 6554161-st square number.

42957026413921 is the 3277081-st centered octagonal number.

It is an amenable number.

42957026413921 is a deficient number, since it is larger than the sum of its proper divisors (70171713720).

42957026413921 is an frugal number, since it uses more digits than its factorization.

42957026413921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21380 (or 10690 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 42957026413921 in words is "forty-two trillion, nine hundred fifty-seven billion, twenty-six million, four hundred thirteen thousand, nine hundred twenty-one".