408802082800 has 120 divisors (see below), whose sum is σ = 1026947664000. Its totient is φ = 156090950400.

The previous prime is 408802082789. The next prime is 408802082861. The reversal of 408802082800 is 8280208804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4471951 + ... + 4562449.

It is an arithmetic number, because the mean of its divisors is an integer number (8557897200).

Almost surely, 2^408802082800 is an apocalyptic number.

408802082800 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 408802082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513473832000).

408802082800 is an abundant number, since it is smaller than the sum of its proper divisors (618145581200).

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

408802082800 is a wasteful number, since it uses less digits than its factorization.

408802082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91031 (or 91020 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 408802082800 in words is "four hundred eight billion, eight hundred two million, eighty-two thousand, eight hundred".