1290170481824 has 48 divisors (see below), whose sum is σ = 2931066972288. Its totient is φ = 547561942272.

The previous prime is 1290170481793. The next prime is 1290170481841. The reversal of 1290170481824 is 4281840710921.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 27936587 + ... + 27982730.

It is an arithmetic number, because the mean of its divisors is an integer number (61063895256).

Almost surely, 2^{1290170481824} is an apocalyptic number.

1290170481824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1290170481824 is an abundant number, since it is smaller than the sum of its proper divisors (1640896490464).

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

1290170481824 is a wasteful number, since it uses less digits than its factorization.

1290170481824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55919437 (or 55919429 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 1290170481824 in words is "one trillion, two hundred ninety billion, one hundred seventy million, four hundred eighty-one thousand, eight hundred twenty-four".