410016673920 has 512 divisors, whose sum is σ = 1561455820800. Its totient is φ = 89539706880.

The previous prime is 410016673903. The next prime is 410016673949. The reversal of 410016673920 is 29376610014.

It is a super-2 number, since 2×410016673920² (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 63 ways as a sum of consecutive naturals, for example, 32908332 + ... + 32920788.

It is an arithmetic number, because the mean of its divisors is an integer number (3049718400).

Almost surely, 2^410016673920 is an apocalyptic number.

410016673920 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 410016673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780727910400).

410016673920 is an abundant number, since it is smaller than the sum of its proper divisors (1151439146880).

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

410016673920 is a wasteful number, since it uses less digits than its factorization.

410016673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12596 (or 12584 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 410016673920 in words is "four hundred ten billion, sixteen million, six hundred seventy-three thousand, nine hundred twenty".