408844084088 has 48 divisors (see below), whose sum is σ = 844225714080. Its totient is φ = 185481296000.

The previous prime is 408844084081. The next prime is 408844084141. The reversal of 408844084088 is 880480448804.

It is a super-2 number, since 2×408844084088² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408844084081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98993 + ... + 909663.

It is an arithmetic number, because the mean of its divisors is an integer number (17588035710).

Almost surely, 2^408844084088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408844084088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422112857040).

408844084088 is an abundant number, since it is smaller than the sum of its proper divisors (435381629992).

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

408844084088 is a wasteful number, since it uses less digits than its factorization.

408844084088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811220 (or 811205 counting only the distinct ones).

The product of its (nonzero) digits is 8388608, while the sum is 56.

The spelling of 408844084088 in words is "four hundred eight billion, eight hundred forty-four million, eighty-four thousand, eighty-eight".