16801968493440 has 384 divisors, whose sum is σ = 65198949641280. Its totient is φ = 3956048363520.

The previous prime is 16801968493393. The next prime is 16801968493459. The reversal of 16801968493440 is 4439486910861.

16801968493440 is a `hidden beast` number, since 1 + 6 + 80 + 1 + 9 + 68 + 493 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16801968493440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3155701 + ... + 6600180.

Almost surely, 2^{16801968493440} is an apocalyptic number.

16801968493440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16801968493440 is an abundant number, since it is smaller than the sum of its proper divisors (48396981147840).

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

16801968493440 is a wasteful number, since it uses less digits than its factorization.

16801968493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755942 (or 9755927 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 16801968493440 in words is "sixteen trillion, eight hundred one billion, nine hundred sixty-eight million, four hundred ninety-three thousand, four hundred forty".