408888488320 has 128 divisors (see below), whose sum is σ = 1053527106240. Its totient is φ = 150854344704.

The previous prime is 408888488317. The next prime is 408888488443. The reversal of 408888488320 is 23884888804.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×408888488320² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 10822102 + ... + 10859818.

Almost surely, 2^408888488320 is an apocalyptic number.

408888488320 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 408888488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526763553120).

408888488320 is an abundant number, since it is smaller than the sum of its proper divisors (644638617920).

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

408888488320 is a wasteful number, since it uses less digits than its factorization.

408888488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39052 (or 39040 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 61.

The spelling of 408888488320 in words is "four hundred eight billion, eight hundred eighty-eight million, four hundred eighty-eight thousand, three hundred twenty".