444044040400 has 60 divisors (see below), whose sum is σ = 1067141000812. Its totient is φ = 177563473920.

The previous prime is 444044040389. The next prime is 444044040431. The reversal of 444044040400 is 4040440444.

It can be written as a sum of positive squares in 6 ways, for example, as 15370048576 + 428673991824 = 123976^2 + 654732^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157662 + ... + 1492738.

Almost surely, 2^444044040400 is an apocalyptic number.

444044040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444044040400 is an abundant number, since it is smaller than the sum of its proper divisors (623096960412).

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

444044040400 is a wasteful number, since it uses less digits than its factorization.

444044040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338408 (or 338397 counting only the distinct ones).

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

Adding to 444044040400 its reverse (4040440444), we get a palindrome (448084480844).

It can be divided in two parts, 44404 and 4040400, that added together give a palindrome (4084804).

The spelling of 444044040400 in words is "four hundred forty-four billion, forty-four million, forty thousand, four hundred".