16944528865440 has 576 divisors, whose sum is σ = 60632442089856. Its totient is φ = 3972046848000.

The previous prime is 16944528865409. The next prime is 16944528865463. The reversal of 16944528865440 is 4456882544961.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269053155 + ... + 269116125.

It is an arithmetic number, because the mean of its divisors is an integer number (105264656406).

Almost surely, 2^{16944528865440} is an apocalyptic number.

16944528865440 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 16944528865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30316221044928).

16944528865440 is an abundant number, since it is smaller than the sum of its proper divisors (43687913224416).

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

16944528865440 is a wasteful number, since it uses less digits than its factorization.

16944528865440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63165 (or 63146 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 66.

The spelling of 16944528865440 in words is "sixteen trillion, nine hundred forty-four billion, five hundred twenty-eight million, eight hundred sixty-five thousand, four hundred forty".