404501088016 has 135 divisors (see below), whose sum is σ = 854920266069. Its totient is φ = 185367181824.

The previous prime is 404501088001. The next prime is 404501088029. The reversal of 404501088016 is 610880105404.

The square root of 404501088016 is 636004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 314922992400 + 89578095616 = 561180^2 + 299296^2 .

It is a super-2 number, since 2×404501088016² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2032668685 + ... + 2032668883.

Almost surely, 2^404501088016 is an apocalyptic number.

404501088016 is the 636004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404501088016

404501088016 is an abundant number, since it is smaller than the sum of its proper divisors (450419178053).

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

404501088016 is an equidigital number, since it uses as much as digits as its factorization.

404501088016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 404501088016 in words is "four hundred four billion, five hundred one million, eighty-eight thousand, sixteen".