1481200680960 has 2400 divisors, whose sum is σ = 7161773617152. Its totient is φ = 282832404480.

The previous prime is 1481200680941. The next prime is 1481200680989. The reversal of 1481200680960 is 690860021841.

1481200680960 is a `hidden beast` number, since 1 + 481 + 2 + 0 + 0 + 6 + 80 + 96 + 0 = 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 159 ways as a sum of consecutive naturals, for example, 6642155409 + ... + 6642155631.

Almost surely, 2^{1481200680960} is an apocalyptic number.

1481200680960 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 1481200680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580886808576).

1481200680960 is an abundant number, since it is smaller than the sum of its proper divisors (5680572936192).

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

1481200680960 is a wasteful number, since it uses less digits than its factorization.

1481200680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

It can be divided in two parts, 1481200 and 680960, that added together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 1481200680960 in words is "one trillion, four hundred eighty-one billion, two hundred million, six hundred eighty thousand, nine hundred sixty".