1289925993744 has 240 divisors, whose sum is σ = 4074473145600. Its totient is φ = 378529542144.

The previous prime is 1289925993731. The next prime is 1289925993767. The reversal of 1289925993744 is 4473995299821.

1289925993744 is a `hidden beast` number, since 1 + 2 + 89 + 92 + 5 + 99 + 374 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3498922 + ... + 3849974.

It is an arithmetic number, because the mean of its divisors is an integer number (16976971440).

Almost surely, 2^{1289925993744} 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 1289925993744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037236572800).

1289925993744 is an abundant number, since it is smaller than the sum of its proper divisors (2784547151856).

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

1289925993744 is a wasteful number, since it uses less digits than its factorization.

1289925993744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351182 (or 351173 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 1289925993744 in words is "one trillion, two hundred eighty-nine billion, nine hundred twenty-five million, nine hundred ninety-three thousand, seven hundred forty-four".