1298967613440 has 832 divisors, whose sum is σ = 4906485012480. Its totient is φ = 287291473920.

The previous prime is 1298967613409. The next prime is 1298967613451. The reversal of 1298967613440 is 443167698921.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1757736591 + ... + 1757737329.

Almost surely, 2^{1298967613440} is an apocalyptic number.

1298967613440 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 1298967613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453242506240).

1298967613440 is an abundant number, since it is smaller than the sum of its proper divisors (3607517399040).

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

1298967613440 is an equidigital number, since it uses as much as digits as its factorization.

1298967613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 1298967613440 in words is "one trillion, two hundred ninety-eight billion, nine hundred sixty-seven million, six hundred thirteen thousand, four hundred forty".