1293430247424 has 312 divisors, whose sum is σ = 4276875213312. Its totient is φ = 368943759360.

The previous prime is 1293430247393. The next prime is 1293430247437. The reversal of 1293430247424 is 4247420343921.

1293430247424 is a `hidden beast` number, since 1 + 29 + 343 + 0 + 247 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1293430247424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170565937 + ... + 170573519.

It is an arithmetic number, because the mean of its divisors is an integer number (13707933376).

Almost surely, 2^{1293430247424} is an apocalyptic number.

1293430247424 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 1293430247424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138437606656).

1293430247424 is an abundant number, since it is smaller than the sum of its proper divisors (2983444965888).

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

1293430247424 is an equidigital number, since it uses as much as digits as its factorization.

1293430247424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 1293430247424 in words is "one trillion, two hundred ninety-three billion, four hundred thirty million, two hundred forty-seven thousand, four hundred twenty-four".