40044404400 has 1920 divisors, whose sum is σ = 190823786496. Its totient is φ = 6900940800.

The previous prime is 40044404353. The next prime is 40044404423. The reversal of 40044404400 is 440444004.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 755554774 + ... + 755554826.

Almost surely, 2^40044404400 is an apocalyptic number.

40044404400 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 40044404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95411893248).

40044404400 is an abundant number, since it is smaller than the sum of its proper divisors (150779382096).

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

40044404400 is a wasteful number, since it uses less digits than its factorization.

40044404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40044404400 its reverse (440444004), we get a palindrome (40484848404).

It can be divided in two parts, 40044 and 404400, that added together give a palindrome (444444).

The spelling of 40044404400 in words is "forty billion, forty-four million, four hundred four thousand, four hundred".