40444400404880 has 160 divisors (see below), whose sum is σ = 97651062432000. Its totient is φ = 15559757158400.

The previous prime is 40444400404813. The next prime is 40444400404913. The reversal of 40444400404880 is 8840400444404.

It is a super-2 number, since 2×40444400404880² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640610915 + ... + 640674045.

It is an arithmetic number, because the mean of its divisors is an integer number (610319140200).

Almost surely, 2^{40444400404880} is an apocalyptic number.

40444400404880 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 40444400404880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48825531216000).

40444400404880 is an abundant number, since it is smaller than the sum of its proper divisors (57206662027120).

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

40444400404880 is a wasteful number, since it uses less digits than its factorization.

40444400404880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64233 (or 64227 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 44.

The spelling of 40444400404880 in words is "forty trillion, four hundred forty-four billion, four hundred million, four hundred four thousand, eight hundred eighty".