16716871873440 has 480 divisors, whose sum is σ = 65754771001920. Its totient is φ = 3974784638976.

The previous prime is 16716871873417. The next prime is 16716871873441. The reversal of 16716871873440 is 4437817861761.

It is a happy number.

16716871873440 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 6 + 8 + 7 + 187 + 3 + 440 = 666.

16716871873440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16716871873441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2189359 + ... + 6182801.

It is an arithmetic number, because the mean of its divisors is an integer number (136989106254).

Almost surely, 2^{16716871873440} is an apocalyptic number.

16716871873440 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 16716871873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32877385500960).

16716871873440 is an abundant number, since it is smaller than the sum of its proper divisors (49037899128480).

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

16716871873440 is a wasteful number, since it uses less digits than its factorization.

16716871873440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993506 (or 3993489 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 16716871873440 in words is "sixteen trillion, seven hundred sixteen billion, eight hundred seventy-one million, eight hundred seventy-three thousand, four hundred forty".