408670080000 has 880 divisors, whose sum is σ = 1675956522240. Its totient is φ = 86188032000.

The previous prime is 408670079957. The next prime is 408670080019. The reversal of 408670080000 is 80076804.

It is a super-2 number, since 2×408670080000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174718831 + ... + 174721169.

It is an arithmetic number, because the mean of its divisors is an integer number (1904496048).

Almost surely, 2^408670080000 is an apocalyptic number.

408670080000 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 408670080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837978261120).

408670080000 is an abundant number, since it is smaller than the sum of its proper divisors (1267286442240).

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

408670080000 is a wasteful number, since it uses less digits than its factorization.

408670080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 408670080000 in words is "four hundred eight billion, six hundred seventy million, eighty thousand".