16641827440128 has 960 divisors, whose sum is σ = 55000054771200. Its totient is φ = 4964220518400.

The previous prime is 16641827440103. The next prime is 16641827440151. The reversal of 16641827440128 is 82104472814661.

16641827440128 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 182 + 7 + 440 + 12 + 8 = 666.

It is a super-2 number, since 2×16641827440128² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37908490533 + ... + 37908490971.

It is an arithmetic number, because the mean of its divisors is an integer number (57291723720).

Almost surely, 2^{16641827440128} is an apocalyptic number.

16641827440128 is a gapful number since it is divisible by the number (18) 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 16641827440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27500027385600).

16641827440128 is an abundant number, since it is smaller than the sum of its proper divisors (38358227331072).

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

16641827440128 is a wasteful number, since it uses less digits than its factorization.

16641827440128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 16641827440128 in words is "sixteen trillion, six hundred forty-one billion, eight hundred twenty-seven million, four hundred forty thousand, one hundred twenty-eight".