1481277001680 has 240 divisors, whose sum is σ = 5686859767680. Its totient is φ = 338483653632.

The previous prime is 1481277001651. The next prime is 1481277001727. The reversal of 1481277001680 is 861007721841.

1481277001680 is a `hidden beast` number, since 1 + 481 + 2 + 7 + 7 + 0 + 0 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19007274 + ... + 19085046.

It is an arithmetic number, because the mean of its divisors is an integer number (23695249032).

Almost surely, 2^{1481277001680} is an apocalyptic number.

1481277001680 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 1481277001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843429883840).

1481277001680 is an abundant number, since it is smaller than the sum of its proper divisors (4205582766000).

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

1481277001680 is a wasteful number, since it uses less digits than its factorization.

1481277001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81578 (or 81569 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1481277001680 in words is "one trillion, four hundred eighty-one billion, two hundred seventy-seven million, one thousand, six hundred eighty".