1293708993408 has 1280 divisors, whose sum is σ = 4608546243840. Its totient is φ = 356513218560.

The previous prime is 1293708993403. The next prime is 1293708993413. The reversal of 1293708993408 is 8043998073921.

It is an interprime number because it is at equal distance from previous prime (1293708993403) and next prime (1293708993413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293708993403) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4415388910 + ... + 4415389202.

It is an arithmetic number, because the mean of its divisors is an integer number (3600426753).

Almost surely, 2^{1293708993408} is an apocalyptic number.

1293708993408 is a gapful number since it is divisible by the number (18) 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 1293708993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304273121920).

1293708993408 is an abundant number, since it is smaller than the sum of its proper divisors (3314837250432).

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

1293708993408 is a wasteful number, since it uses less digits than its factorization.

1293708993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 1293708993408 in words is "one trillion, two hundred ninety-three billion, seven hundred eight million, nine hundred ninety-three thousand, four hundred eight".