1681941460320 has 768 divisors, whose sum is σ = 6813127157760. Its totient is φ = 383002214400.

The previous prime is 1681941460313. The next prime is 1681941460343. The reversal of 1681941460320 is 230641491861.

1681941460320 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 9 + 4 + 14 + 603 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 479047365 + ... + 479050875.

It is an arithmetic number, because the mean of its divisors is an integer number (8871259320).

Almost surely, 2^{1681941460320} is an apocalyptic number.

1681941460320 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 1681941460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406563578880).

1681941460320 is an abundant number, since it is smaller than the sum of its proper divisors (5131185697440).

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

1681941460320 is a wasteful number, since it uses less digits than its factorization.

1681941460320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1681941460320 in words is "one trillion, six hundred eighty-one billion, nine hundred forty-one million, four hundred sixty thousand, three hundred twenty".