408884400000 has 576 divisors, whose sum is σ = 1499112800640. Its totient is φ = 106928640000.

The previous prime is 408884399999. The next prime is 408884400049. The reversal of 408884400000 is 4488804.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190798929 + ... + 190801071.

It is an arithmetic number, because the mean of its divisors is an integer number (2602626390).

Almost surely, 2^408884400000 is an apocalyptic number.

408884400000 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 408884400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749556400320).

408884400000 is an abundant number, since it is smaller than the sum of its proper divisors (1090228400640).

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

408884400000 is an equidigital number, since it uses as much as digits as its factorization.

408884400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 408884400000 its reverse (4488804), we get a palindrome (408888888804).

The spelling of 408884400000 in words is "four hundred eight billion, eight hundred eighty-four million, four hundred thousand".