444004404040 has 32 divisors (see below), whose sum is σ = 1057775199480. Its totient is φ = 167154598912.

The previous prime is 444004403971. The next prime is 444004404047. The reversal of 444004404040 is 40404400444.

It can be written as a sum of positive squares in 4 ways, for example, as 429939867204 + 14064536836 = 655698^2 + 118594^2 .

It is not an unprimeable number, because it can be changed into a prime (444004404047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326473147 + ... + 326474506.

Almost surely, 2^444004404040 is an apocalyptic number.

444004404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444004404040 is an abundant number, since it is smaller than the sum of its proper divisors (613770795440).

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

444004404040 is a wasteful number, since it uses less digits than its factorization.

444004404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652947681 (or 652947677 counting only the distinct ones).

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

Adding to 444004404040 its reverse (40404400444), we get a palindrome (484408804484).

The spelling of 444004404040 in words is "four hundred forty-four billion, four million, four hundred four thousand, forty".