1399205568000 has 320 divisors, whose sum is σ = 4659675958080. Its totient is φ = 372506624000.

The previous prime is 1399205567971. The next prime is 1399205568037. The reversal of 1399205568000 is 8655029931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 123066316 + ... + 123077684.

It is an arithmetic number, because the mean of its divisors is an integer number (14561487369).

Almost surely, 2^{1399205568000} is an apocalyptic number.

1399205568000 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 1399205568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329837979040).

1399205568000 is an abundant number, since it is smaller than the sum of its proper divisors (3260470390080).

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

1399205568000 is an equidigital number, since it uses as much as digits as its factorization.

1399205568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12046 (or 12020 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 1399205568000 in words is "one trillion, three hundred ninety-nine billion, two hundred five million, five hundred sixty-eight thousand".