1680410781144 has 24 divisors (see below), whose sum is σ = 4551112532460. Its totient is φ = 560136927024.

The previous prime is 1680410781079. The next prime is 1680410781191. The reversal of 1680410781144 is 4411870140861.

1680410781144 is a `hidden beast` number, since 16 + 8 + 0 + 410 + 7 + 81 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×1680410781144³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1680410781144.

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 5 ways as a sum of consecutive naturals, for example, 11669519242 + ... + 11669519385.

Almost surely, 2^{1680410781144} is an apocalyptic number.

It is an amenable number.

1680410781144 is an abundant number, since it is smaller than the sum of its proper divisors (2870701751316).

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

1680410781144 is a wasteful number, since it uses less digits than its factorization.

1680410781144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23339038639 (or 23339038632 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1680410781144 in words is "one trillion, six hundred eighty billion, four hundred ten million, seven hundred eighty-one thousand, one hundred forty-four".