1293250330944 has 504 divisors, whose sum is σ = 4422858352640. Its totient is φ = 358867998720.

The previous prime is 1293250330921. The next prime is 1293250330949. The reversal of 1293250330944 is 4490330523921.

1293250330944 is a `hidden beast` number, since 1 + 2 + 93 + 250 + 3 + 309 + 4 + 4 = 666.

It is a super-2 number, since 2×1293250330944² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1293250330944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293250330949) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115062477 + ... + 115073715.

Almost surely, 2^{1293250330944} 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 1293250330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211429176320).

1293250330944 is an abundant number, since it is smaller than the sum of its proper divisors (3129608021696).

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

1293250330944 is a wasteful number, since it uses less digits than its factorization.

1293250330944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11419 (or 11395 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 1293250330944 in words is "one trillion, two hundred ninety-three billion, two hundred fifty million, three hundred thirty thousand, nine hundred forty-four".