408156672000 has 2496 divisors, whose sum is σ = 1887866922240. Its totient is φ = 77070336000.

The previous prime is 408156671953. The next prime is 408156672041. The reversal of 408156672000 is 276651804.

It is a self number, because there is not a number n which added to its sum of digits gives 408156672000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14074367986 + ... + 14074368014.

It is an arithmetic number, because the mean of its divisors is an integer number (756356940).

Almost surely, 2^408156672000 is an apocalyptic number.

408156672000 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 408156672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943933461120).

408156672000 is an abundant number, since it is smaller than the sum of its proper divisors (1479710250240).

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

408156672000 is a wasteful number, since it uses less digits than its factorization.

408156672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 408156672000 in words is "four hundred eight billion, one hundred fifty-six million, six hundred seventy-two thousand".