1290485346360 has 768 divisors, whose sum is σ = 4775558860800. Its totient is φ = 278052203520.

The previous prime is 1290485346347. The next prime is 1290485346383. The reversal of 1290485346360 is 636435840921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9284067171 + ... + 9284067309.

It is an arithmetic number, because the mean of its divisors is an integer number (6218175600).

Almost surely, 2^{1290485346360} is an apocalyptic number.

1290485346360 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 1290485346360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387779430400).

1290485346360 is an abundant number, since it is smaller than the sum of its proper divisors (3485073514440).

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

1290485346360 is a wasteful number, since it uses less digits than its factorization.

1290485346360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 1290485346360 in words is "one trillion, two hundred ninety billion, four hundred eighty-five million, three hundred forty-six thousand, three hundred sixty".