1398729516800 has 432 divisors, whose sum is σ = 4328318803200. Its totient is φ = 434759270400.

The previous prime is 1398729516713. The next prime is 1398729516803. The reversal of 1398729516800 is 86159278931.

It is a super-2 number, since 2×1398729516800² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1398729516800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398729516803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186767456 + ... + 186774944.

Almost surely, 2^{1398729516800} is an apocalyptic number.

1398729516800 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 1398729516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164159401600).

1398729516800 is an abundant number, since it is smaller than the sum of its proper divisors (2929589286400).

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

1398729516800 is a wasteful number, since it uses less digits than its factorization.

1398729516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 59.

The spelling of 1398729516800 in words is "one trillion, three hundred ninety-eight billion, seven hundred twenty-nine million, five hundred sixteen thousand, eight hundred".