40013214304 has 96 divisors (see below), whose sum is σ = 90902794752. Its totient is φ = 16982784000.

The previous prime is 40013214301. The next prime is 40013214317. The reversal of 40013214304 is 40341231004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40013214301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18514984 + ... + 18517144.

It is an arithmetic number, because the mean of its divisors is an integer number (946904112).

Almost surely, 2^40013214304 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 40013214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45451397376).

40013214304 is an abundant number, since it is smaller than the sum of its proper divisors (50889580448).

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

40013214304 is a wasteful number, since it uses less digits than its factorization.

40013214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 40013214304 its reverse (40341231004), we get a palindrome (80354445308).

The spelling of 40013214304 in words is "forty billion, thirteen million, two hundred fourteen thousand, three hundred four".