444404804440 has 64 divisors (see below), whose sum is σ = 1008974309760. Its totient is φ = 176151306240.

The previous prime is 444404804359. The next prime is 444404804453. The reversal of 444404804440 is 44408404444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 444404804393 and 444404804402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32180017 + ... + 32193823.

It is an arithmetic number, because the mean of its divisors is an integer number (15765223590).

Almost surely, 2^444404804440 is an apocalyptic number.

444404804440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444404804440 is an abundant number, since it is smaller than the sum of its proper divisors (564569505320).

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

444404804440 is a wasteful number, since it uses less digits than its factorization.

444404804440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21052 (or 21048 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 40.

The spelling of 444404804440 in words is "four hundred forty-four billion, four hundred four million, eight hundred four thousand, four hundred forty".