1481448171840 has 1792 divisors, whose sum is σ = 6331568947200. Its totient is φ = 290892349440.

The previous prime is 1481448171821. The next prime is 1481448171857. The reversal of 1481448171840 is 481718441841.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 4036643337 + ... + 4036643703.

It is an arithmetic number, because the mean of its divisors is an integer number (3533241600).

Almost surely, 2^{1481448171840} is an apocalyptic number.

1481448171840 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 1481448171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165784473600).

1481448171840 is an abundant number, since it is smaller than the sum of its proper divisors (4850120775360).

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

1481448171840 is a wasteful number, since it uses less digits than its factorization.

1481448171840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 51.

The spelling of 1481448171840 in words is "one trillion, four hundred eighty-one billion, four hundred forty-eight million, one hundred seventy-one thousand, eight hundred forty".