1290909953424 has 320 divisors, whose sum is σ = 4125623943168. Its totient is φ = 338707353600.

The previous prime is 1290909953423. The next prime is 1290909953441. The reversal of 1290909953424 is 4243599090921.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1290909953423) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 871646764 + ... + 871648244.

Almost surely, 2^{1290909953424} is an apocalyptic number.

1290909953424 is a gapful number since it is divisible by the number (14) 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 1290909953424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062811971584).

1290909953424 is an abundant number, since it is smaller than the sum of its proper divisors (2834713989744).

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

1290909953424 is a wasteful number, since it uses less digits than its factorization.

1290909953424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 1290909953424 in words is "one trillion, two hundred ninety billion, nine hundred nine million, nine hundred fifty-three thousand, four hundred twenty-four".