444088404040 has 64 divisors (see below), whose sum is σ = 1043590003200. Its totient is φ = 169757651712.

The previous prime is 444088404007. The next prime is 444088404107. The reversal of 444088404040 is 40404880444.

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 = 444088403984 and 444088404002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795946 + ... + 1233574.

It is an arithmetic number, because the mean of its divisors is an integer number (16306093800).

Almost surely, 2^444088404040 is an apocalyptic number.

444088404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444088404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521795001600).

444088404040 is an abundant number, since it is smaller than the sum of its proper divisors (599501599160).

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

444088404040 is a wasteful number, since it uses less digits than its factorization.

444088404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438766 (or 438762 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

It can be divided in two parts, 44408 and 8404040, that added together give a palindrome (8448448).

The spelling of 444088404040 in words is "four hundred forty-four billion, eighty-eight million, four hundred four thousand, forty".