16041724942464 has 640 divisors, whose sum is σ = 53351184015360. Its totient is φ = 4751447040000.

The previous prime is 16041724942427. The next prime is 16041724942511. The reversal of 16041724942464 is 46424942714061.

16041724942464 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 1 + 72 + 494 + 24 + 64 = 666.

It is a super-2 number, since 2×16041724942464² (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 self number, because there is not a number n which added to its sum of digits gives 16041724942464.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 798046014 + ... + 798066114.

It is an arithmetic number, because the mean of its divisors is an integer number (83361225024).

Almost surely, 2^{16041724942464} 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 16041724942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26675592007680).

16041724942464 is an abundant number, since it is smaller than the sum of its proper divisors (37309459072896).

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

16041724942464 is a wasteful number, since it uses less digits than its factorization.

16041724942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20362 (or 20341 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 16041724942464 in words is "sixteen trillion, forty-one billion, seven hundred twenty-four million, nine hundred forty-two thousand, four hundred sixty-four".