16840380416832 has 784 divisors, whose sum is σ = 58326632070912. Its totient is φ = 4722363555840.

The previous prime is 16840380416813. The next prime is 16840380416879. The reversal of 16840380416832 is 23861408304861.

It is a happy number.

16840380416832 is a `hidden beast` number, since 1 + 68 + 40 + 380 + 4 + 168 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17670912868 + ... + 17670913820.

Almost surely, 2^{16840380416832} is an apocalyptic number.

16840380416832 is a gapful number since it is divisible by the number (12) 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 16840380416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29163316035456).

16840380416832 is an abundant number, since it is smaller than the sum of its proper divisors (41486251654080).

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

16840380416832 is an frugal number, since it uses more digits than its factorization.

16840380416832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 16840380416832 in words is "sixteen trillion, eight hundred forty billion, three hundred eighty million, four hundred sixteen thousand, eight hundred thirty-two".