408206641920 has 576 divisors, whose sum is σ = 1641617832960. Its totient is φ = 83976192000.

The previous prime is 408206641877. The next prime is 408206641981. The reversal of 408206641920 is 29146602804.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29856846 + ... + 29870514.

It is an arithmetic number, because the mean of its divisors is an integer number (2850030960).

Almost surely, 2^408206641920 is an apocalyptic number.

408206641920 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 408206641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820808916480).

408206641920 is an abundant number, since it is smaller than the sum of its proper divisors (1233411191040).

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

408206641920 is a wasteful number, since it uses less digits than its factorization.

408206641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13812 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 408206641920 in words is "four hundred eight billion, two hundred six million, six hundred forty-one thousand, nine hundred twenty".