1293387661440 has 768 divisors, whose sum is σ = 5337252000000. Its totient is φ = 295153238016.

The previous prime is 1293387661417. The next prime is 1293387661451. The reversal of 1293387661440 is 441667833921.

1293387661440 is a `hidden beast` number, since 12 + 9 + 3 + 3 + 8 + 7 + 6 + 614 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1035537936 + ... + 1035539184.

It is an arithmetic number, because the mean of its divisors is an integer number (6949546875).

Almost surely, 2^{1293387661440} is an apocalyptic number.

1293387661440 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 1293387661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668626000000).

1293387661440 is an abundant number, since it is smaller than the sum of its proper divisors (4043864338560).

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

1293387661440 is a wasteful number, since it uses less digits than its factorization.

1293387661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1293387661440 in words is "one trillion, two hundred ninety-three billion, three hundred eighty-seven million, six hundred sixty-one thousand, four hundred forty".