4004444040400 has 30 divisors (see below), whose sum is σ = 9620676808022. Its totient is φ = 1601777616000.

The previous prime is 4004444040383. The next prime is 4004444040403. The reversal of 4004444040400 is 40404444004.

It can be written as a sum of positive squares in 3 ways, for example, as 32506647616 + 3971937392784 = 180296^2 + 1992972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004444040403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5005554651 + ... + 5005555450.

Almost surely, 2^{4004444040400} is an apocalyptic number.

4004444040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004444040400 is an abundant number, since it is smaller than the sum of its proper divisors (5616232767622).

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

4004444040400 is a wasteful number, since it uses less digits than its factorization.

4004444040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011110119 (or 10011110108 counting only the distinct ones).

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

Adding to 4004444040400 its reverse (40404444004), we get a palindrome (4044848484404).

The spelling of 4004444040400 in words is "four trillion, four billion, four hundred forty-four million, forty thousand, four hundred".