16426347171840 has 624 divisors, whose sum is σ = 58005677199600. Its totient is φ = 4298939301888.

The previous prime is 16426347171797. The next prime is 16426347171877. The reversal of 16426347171840 is 4817174362461.

16426347171840 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 63 + 471 + 71 + 8 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 796406317056 + 15629940854784 = 892416^2 + 3953472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2247410106 + ... + 2247417414.

It is an arithmetic number, because the mean of its divisors is an integer number (92957816025).

Almost surely, 2^{16426347171840} is an apocalyptic number.

16426347171840 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 16426347171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29002838599800).

16426347171840 is an abundant number, since it is smaller than the sum of its proper divisors (41579330027760).

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

16426347171840 is a wasteful number, since it uses less digits than its factorization.

16426347171840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7570 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 16426347171840 in words is "sixteen trillion, four hundred twenty-six billion, three hundred forty-seven million, one hundred seventy-one thousand, eight hundred forty".