40131313324325 has 48 divisors (see below), whose sum is σ = 50775369199632. Its totient is φ = 31453593600000.

The previous prime is 40131313324303. The next prime is 40131313324331. The reversal of 40131313324325 is 52342331313104.

It can be written as a sum of positive squares in 24 ways, for example, as 10255884555361 + 29875428768964 = 3202481^2 + 5465842^2 .

It is not a de Polignac number, because 40131313324325 - 2³⁴ = 40114133455141 is a prime.

It is a super-2 number, since 2×40131313324325² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2802263165 + ... + 2802277485.

It is an arithmetic number, because the mean of its divisors is an integer number (1057820191659).

Almost surely, 2^{40131313324325} is an apocalyptic number.

It is an amenable number.

40131313324325 is a deficient number, since it is larger than the sum of its proper divisors (10644055875307).

40131313324325 is a wasteful number, since it uses less digits than its factorization.

40131313324325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17306 (or 17301 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 40131313324325 its reverse (52342331313104), we get a palindrome (92473644637429).

The spelling of 40131313324325 in words is "forty trillion, one hundred thirty-one billion, three hundred thirteen million, three hundred twenty-four thousand, three hundred twenty-five".