1298059408800 has 1440 divisors, whose sum is σ = 6158989799424. Its totient is φ = 257976576000.

The previous prime is 1298059408759. The next prime is 1298059408843. The reversal of 1298059408800 is 88049508921.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 114755145 + ... + 114766455.

Almost surely, 2^{1298059408800} is an apocalyptic number.

1298059408800 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 1298059408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079494899712).

1298059408800 is an abundant number, since it is smaller than the sum of its proper divisors (4860930390624).

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

1298059408800 is a wasteful number, since it uses less digits than its factorization.

1298059408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1298059408800 in words is "one trillion, two hundred ninety-eight billion, fifty-nine million, four hundred eight thousand, eight hundred".