40004044416 has 192 divisors, whose sum is σ = 131752420800. Its totient is φ = 11413094400.

The previous prime is 40004044397. The next prime is 40004044429. The reversal of 40004044416 is 61444040004.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 40004044416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6197991 + ... + 6204441.

It is an arithmetic number, because the mean of its divisors is an integer number (686210525).

Almost surely, 2^40004044416 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 40004044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65876210400).

40004044416 is an abundant number, since it is smaller than the sum of its proper divisors (91748376384).

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

40004044416 is a wasteful number, since it uses less digits than its factorization.

40004044416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7232 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 40004044416 in words is "forty billion, four million, forty-four thousand, four hundred sixteen".