16416391404000 has 1728 divisors, whose sum is σ = 66245148889920. Its totient is φ = 3542861414400.

The previous prime is 16416391403987. The next prime is 16416391404001. The reversal of 16416391404000 is 40419361461.

It is a self number, because there is not a number n which added to its sum of digits gives 16416391404000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16416391404001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27683627704 + ... + 27683628296.

It is an arithmetic number, because the mean of its divisors is an integer number (38336313015).

Almost surely, 2^{16416391404000} is an apocalyptic number.

16416391404000 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 16416391404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33122574444960).

16416391404000 is an abundant number, since it is smaller than the sum of its proper divisors (49828757485920).

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

16416391404000 is a wasteful number, since it uses less digits than its factorization.

16416391404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 16416391404000 in words is "sixteen trillion, four hundred sixteen billion, three hundred ninety-one million, four hundred four thousand".