444000400080 has 40 divisors (see below), whose sum is σ = 1376401240992. Its totient is φ = 118400106624.

The previous prime is 444000400003. The next prime is 444000400097. The reversal of 444000400080 is 80004000444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 444000400080.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 925000594 + ... + 925001073.

Almost surely, 2^444000400080 is an apocalyptic number.

444000400080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444000400080 is an abundant number, since it is smaller than the sum of its proper divisors (932400840912).

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

444000400080 is a wasteful number, since it uses less digits than its factorization.

444000400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850001683 (or 1850001677 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 444000400080 in words is "four hundred forty-four billion, four hundred thousand, eighty".