1290366243864 has 288 divisors, whose sum is σ = 3783671274240. Its totient is φ = 396506943360.

The previous prime is 1290366243853. The next prime is 1290366243871. The reversal of 1290366243864 is 4683426630921.

1290366243864 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 3 + 6 + 624 + 3 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1290366243864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 418540867 + ... + 418543949.

It is an arithmetic number, because the mean of its divisors is an integer number (13137747480).

Almost surely, 2^{1290366243864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290366243864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891835637120).

1290366243864 is an abundant number, since it is smaller than the sum of its proper divisors (2493305030376).

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

1290366243864 is a wasteful number, since it uses less digits than its factorization.

1290366243864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 1290366243864 in words is "one trillion, two hundred ninety billion, three hundred sixty-six million, two hundred forty-three thousand, eight hundred sixty-four".