408401208000 has 168 divisors, whose sum is σ = 1460919445440. Its totient is φ = 108906969600.

The previous prime is 408401207983. The next prime is 408401208011. The reversal of 408401208000 is 802104804.

408401208000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 2764120 + ... + 2908119.

It is an arithmetic number, because the mean of its divisors is an integer number (8695949080).

Almost surely, 2^408401208000 is an apocalyptic number.

408401208000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408401208000 is an abundant number, since it is smaller than the sum of its proper divisors (1052518237440).

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

408401208000 is a wasteful number, since it uses less digits than its factorization.

408401208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672272 (or 5672249 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 408401208000 in words is "four hundred eight billion, four hundred one million, two hundred eight thousand".