40044480000 has 800 divisors, whose sum is σ = 156468913920. Its totient is φ = 8908800000.

The previous prime is 40044479947. The next prime is 40044480019. The reversal of 40044480000 is 8444004.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 396479950 + ... + 396480050.

Almost surely, 2^40044480000 is an apocalyptic number.

40044480000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40044480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78234456960).

40044480000 is an abundant number, since it is smaller than the sum of its proper divisors (116424433920).

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

40044480000 is an equidigital number, since it uses as much as digits as its factorization.

40044480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 40044480000 in words is "forty billion, forty-four million, four hundred eighty thousand".