1481610170880 has 960 divisors, whose sum is σ = 6145174683648. Its totient is φ = 322764963840.

The previous prime is 1481610170869. The next prime is 1481610170927. The reversal of 1481610170880 is 880710161841.

1481610170880 is a `hidden beast` number, since 14 + 8 + 1 + 610 + 17 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 95 ways as a sum of consecutive naturals, for example, 334976349 + ... + 334980771.

Almost surely, 2^{1481610170880} is an apocalyptic number.

1481610170880 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 1481610170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072587341824).

1481610170880 is an abundant number, since it is smaller than the sum of its proper divisors (4663564512768).

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

1481610170880 is a wasteful number, since it uses less digits than its factorization.

1481610170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 1481610170880 in words is "one trillion, four hundred eighty-one billion, six hundred ten million, one hundred seventy thousand, eight hundred eighty".