16442741266344 has 128 divisors (see below), whose sum is σ = 46224952012800. Its totient is φ = 5415191470080.

The previous prime is 16442741266337. The next prime is 16442741266361. The reversal of 16442741266344 is 44366214724461.

16442741266344 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 274 + 1 + 26 + 6 + 344 = 666.

It is a super-3 number, since 3×16442741266344³ (a number of 41 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5367544 + ... + 7854680.

It is an arithmetic number, because the mean of its divisors is an integer number (361132437600).

Almost surely, 2^{16442741266344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442741266344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23112476006400).

16442741266344 is an abundant number, since it is smaller than the sum of its proper divisors (29782210746456).

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

16442741266344 is a wasteful number, since it uses less digits than its factorization.

16442741266344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487520 (or 2487510 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 16442741266344 in words is "sixteen trillion, four hundred forty-two billion, seven hundred forty-one million, two hundred sixty-six thousand, three hundred forty-four".