4004440044400 has 60 divisors (see below), whose sum is σ = 9658996800264. Its totient is φ = 1595394400000.

The previous prime is 4004440044389. The next prime is 4004440044413. The reversal of 4004440044400 is 44400444004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19842031 + ... + 20042830.

Almost surely, 2^{4004440044400} is an apocalyptic number.

4004440044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004440044400 is an abundant number, since it is smaller than the sum of its proper divisors (5654556755864).

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

4004440044400 is a wasteful number, since it uses less digits than its factorization.

4004440044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39885130 (or 39885119 counting only the distinct ones).

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

Adding to 4004440044400 its reverse (44400444004), we get a palindrome (4048840488404).

The spelling of 4004440044400 in words is "four trillion, four billion, four hundred forty million, forty-four thousand, four hundred".