42131257064 has 16 divisors (see below), whose sum is σ = 85072730820. Its totient is φ = 19445195520.

The previous prime is 42131257061. The next prime is 42131257067. The reversal of 42131257064 is 46075213124.

It is an interprime number because it is at equal distance from previous prime (42131257061) and next prime (42131257067).

It can be written as a sum of positive squares in 2 ways, for example, as 39493612900 + 2637644164 = 198730^2 + 51358^2 .

It is a super-3 number, since 3×42131257064³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42131257061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 202554017 + ... + 202554224.

Almost surely, 2^42131257064 is an apocalyptic number.

It is an amenable number.

42131257064 is an abundant number, since it is smaller than the sum of its proper divisors (42941473756).

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

42131257064 is a wasteful number, since it uses less digits than its factorization.

42131257064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405108260 (or 405108256 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 42131257064 in words is "forty-two billion, one hundred thirty-one million, two hundred fifty-seven thousand, sixty-four".