444128008040 has 32 divisors (see below), whose sum is σ = 1023660900360. Its totient is φ = 173318246400.

The previous prime is 444128008033. The next prime is 444128008069. The reversal of 444128008040 is 40800821444.

It can be written as a sum of positive squares in 4 ways, for example, as 104493148516 + 339634859524 = 323254^2 + 582782^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135403241 + ... + 135406520.

Almost surely, 2^444128008040 is an apocalyptic number.

444128008040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444128008040 is an abundant number, since it is smaller than the sum of its proper divisors (579532892320).

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

444128008040 is a wasteful number, since it uses less digits than its factorization.

444128008040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270809813 (or 270809809 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 35.

Adding to 444128008040 its reverse (40800821444), we get a palindrome (484928829484).

The spelling of 444128008040 in words is "four hundred forty-four billion, one hundred twenty-eight million, eight thousand, forty".