40131593216 has 176 divisors, whose sum is σ = 96046026048. Its totient is φ = 16517529600.

The previous prime is 40131593191. The next prime is 40131593221. The reversal of 40131593216 is 61239513104.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×40131593216² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7758311 + ... + 7763481.

Almost surely, 2^40131593216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131593216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48023013024).

40131593216 is an abundant number, since it is smaller than the sum of its proper divisors (55914432832).

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

40131593216 is a wasteful number, since it uses less digits than its factorization.

40131593216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 40131593216 in words is "forty billion, one hundred thirty-one million, five hundred ninety-three thousand, two hundred sixteen".