1339966416384 has 960 divisors, whose sum is σ = 4411982615040. Its totient is φ = 404660551680.

The previous prime is 1339966416329. The next prime is 1339966416421. The reversal of 1339966416384 is 4836146699331.

1339966416384 is a `hidden beast` number, since 1 + 3 + 399 + 6 + 6 + 4 + 163 + 84 = 666.

It is a super-3 number, since 3×1339966416384³ (a number of 37 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5560026504 + ... + 5560026744.

It is an arithmetic number, because the mean of its divisors is an integer number (4595815224).

Almost surely, 2^{1339966416384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1339966416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205991307520).

1339966416384 is an abundant number, since it is smaller than the sum of its proper divisors (3072016198656).

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

1339966416384 is an equidigital number, since it uses as much as digits as its factorization.

1339966416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 365 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 1339966416384 in words is "one trillion, three hundred thirty-nine billion, nine hundred sixty-six million, four hundred sixteen thousand, three hundred eighty-four".