16410415606400 has 96 divisors (see below), whose sum is σ = 40544527454400. Its totient is φ = 6563247713280.

The previous prime is 16410415606397. The next prime is 16410415606433. The reversal of 16410415606400 is 460651401461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22745609 + ... + 23455991.

It is an arithmetic number, because the mean of its divisors is an integer number (422338827650).

Almost surely, 2^{16410415606400} is an apocalyptic number.

16410415606400 is a gapful number since it is divisible by the number (10) 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 16410415606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272263727200).

16410415606400 is an abundant number, since it is smaller than the sum of its proper divisors (24134111848000).

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

16410415606400 is an equidigital number, since it uses as much as digits as its factorization.

16410415606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717626 (or 717609 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 16410415606400 in words is "sixteen trillion, four hundred ten billion, four hundred fifteen million, six hundred six thousand, four hundred".