40131329238 has 144 divisors (see below), whose sum is σ = 117630703008. Its totient is φ = 9621849600.

The previous prime is 40131329233. The next prime is 40131329263. The reversal of 40131329238 is 83292313104.

40131329238 is a `hidden beast` number, since 401 + 3 + 13 + 2 + 9 + 238 = 666.

It is a super-2 number, since 2×40131329238² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131329233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96958 + ... + 299438.

It is an arithmetic number, because the mean of its divisors is an integer number (816879882).

Almost surely, 2^40131329238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131329238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58815351504).

40131329238 is an abundant number, since it is smaller than the sum of its proper divisors (77499373770).

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

40131329238 is a wasteful number, since it uses less digits than its factorization.

40131329238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202531 (or 202517 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 40131329238 in words is "forty billion, one hundred thirty-one million, three hundred twenty-nine thousand, two hundred thirty-eight".