1339257216000 has 704 divisors, whose sum is σ = 4896968993280. Its totient is φ = 322191360000.

The previous prime is 1339257215983. The next prime is 1339257216107. The reversal of 1339257216000 is 6127529331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 1339257216000.

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, 587134860 + ... + 587137140.

Almost surely, 2^{1339257216000} is an apocalyptic number.

1339257216000 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 1339257216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448484496640).

1339257216000 is an abundant number, since it is smaller than the sum of its proper divisors (3557711777280).

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

1339257216000 is a wasteful number, since it uses less digits than its factorization.

1339257216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 1339257216000 in words is "one trillion, three hundred thirty-nine billion, two hundred fifty-seven million, two hundred sixteen thousand".