40044444400 has 120 divisors (see below), whose sum is σ = 100499996160. Its totient is φ = 15304523520.

The previous prime is 40044444383. The next prime is 40044444413. The reversal of 40044444400 is 444444004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11249821 + ... + 11253379.

It is an arithmetic number, because the mean of its divisors is an integer number (837499968).

Almost surely, 2^40044444400 is an apocalyptic number.

40044444400 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 40044444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50249998080).

40044444400 is an abundant number, since it is smaller than the sum of its proper divisors (60455551760).

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

40044444400 is a wasteful number, since it uses less digits than its factorization.

40044444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40044444400 its reverse (444444004), we get a palindrome (40488888404).

The spelling of 40044444400 in words is "forty billion, forty-four million, four hundred forty-four thousand, four hundred".