42695390657241 has 135 divisors (see below), whose sum is σ = 78826426977837. Its totient is φ = 22958463225600.

The previous prime is 42695390657219. The next prime is 42695390657261. The reversal of 42695390657241 is 14275609359624.

It is a happy number.

The square root of 42695390657241 is 6534171.

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

42695390657241 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 53 + 9 + 0 + 6 + 572 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7395109166025 + 35300281491216 = 2719395^2 + 5941404^2 .

It is not a de Polignac number, because 42695390657241 - 2¹⁹ = 42695390132953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42695390657201) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6998094091 + ... + 6998100191.

Almost surely, 2^{42695390657241} is an apocalyptic number.

42695390657241 is the 6534171-st square number.

42695390657241 is the 3267086-th centered octagonal number.

It is an amenable number.

42695390657241 is a deficient number, since it is larger than the sum of its proper divisors (36131036320596).

42695390657241 is an frugal number, since it uses more digits than its factorization.

42695390657241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12262 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 42695390657241 in words is "forty-two trillion, six hundred ninety-five billion, three hundred ninety million, six hundred fifty-seven thousand, two hundred forty-one".