16440007753728 has 768 divisors, whose sum is σ = 53341107019200. Its totient is φ = 5029830328320.

The previous prime is 16440007753721. The next prime is 16440007753769. The reversal of 16440007753728 is 82735770004461.

16440007753728 is a `hidden beast` number, since 1 + 64 + 40 + 0 + 0 + 7 + 7 + 537 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (16440007753721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24946900663 + ... + 24946901321.

Almost surely, 2^{16440007753728} is an apocalyptic number.

16440007753728 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 16440007753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26670553509600).

16440007753728 is an abundant number, since it is smaller than the sum of its proper divisors (36901099265472).

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

16440007753728 is an frugal number, since it uses more digits than its factorization.

16440007753728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 16440007753728 in words is "sixteen trillion, four hundred forty billion, seven million, seven hundred fifty-three thousand, seven hundred twenty-eight".