408080400000 has 1536 divisors, whose sum is σ = 1729554301440. Its totient is φ = 82944000000.

The previous prime is 408080399977. The next prime is 408080400031. The reversal of 408080400000 is 4080804.

It is a super-2 number, since 2×408080400000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4040399950 + ... + 4040400050.

It is an arithmetic number, because the mean of its divisors is an integer number (1126011915).

Almost surely, 2^408080400000 is an apocalyptic number.

408080400000 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 408080400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864777150720).

408080400000 is an abundant number, since it is smaller than the sum of its proper divisors (1321473901440).

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

408080400000 is a wasteful number, since it uses less digits than its factorization.

408080400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 408080400000 its reverse (4080804), we get a palindrome (408084480804).

408080400000 divided by its reverse (4080804) gives a 5-th power (100000 = 10⁵).

The spelling of 408080400000 in words is "four hundred eight billion, eighty million, four hundred thousand".