408000000000 has 520 divisors, whose sum is σ = 1439824071312. Its totient is φ = 102400000000.

The previous prime is 407999999987. The next prime is 408000000029. The reversal of 408000000000 is 804.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23999999992 + ... + 24000000008.

Almost surely, 2^408000000000 is an apocalyptic number.

408000000000 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 408000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719912035656).

408000000000 is an abundant number, since it is smaller than the sum of its proper divisors (1031824071312).

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

408000000000 is an frugal number, since it uses more digits than its factorization.

408000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 408000000000 its reverse (804), we get a palindrome (408000000804).

It can be divided in two parts, 40 and 8000000000, that multiplied together give a 5-th power (320000000000 = 200⁵).

The spelling of 408000000000 in words is "four hundred eight billion", and thus it is an aban number.