1681482240000 has 1820 divisors, whose sum is σ = 6796328881716. Its totient is φ = 414056448000.

The previous prime is 1681482239989. The next prime is 1681482240007. The reversal of 1681482240000 is 422841861.

1681482240000 is a `hidden beast` number, since 168 + 14 + 82 + 2 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 877174603776 + 804307636224 = 936576^2 + 896832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681482240007) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 31726079974 + ... + 31726080026.

Almost surely, 2^{1681482240000} is an apocalyptic number.

1681482240000 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 1681482240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398164440858).

1681482240000 is an abundant number, since it is smaller than the sum of its proper divisors (5114846641716).

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

1681482240000 is an frugal number, since it uses more digits than its factorization.

1681482240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1681482240000 in words is "one trillion, six hundred eighty-one billion, four hundred eighty-two million, two hundred forty thousand".