40398031872 has 396 divisors, whose sum is σ = 135822756888. Its totient is φ = 11516313600.

The previous prime is 40398031847. The next prime is 40398031873. The reversal of 40398031872 is 27813089304.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×40398031872² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (40398031873) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18956247 + ... + 18958377.

Almost surely, 2^40398031872 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 40398031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67911378444).

40398031872 is an abundant number, since it is smaller than the sum of its proper divisors (95424725016).

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

40398031872 is a wasteful number, since it uses less digits than its factorization.

40398031872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40398031872 in words is "forty billion, three hundred ninety-eight million, thirty-one thousand, eight hundred seventy-two".