1339795328256 has 432 divisors, whose sum is σ = 4884037337088. Its totient is φ = 343094169600.

The previous prime is 1339795328159. The next prime is 1339795328257. The reversal of 1339795328256 is 6528235979331.

It is a happy number.

1339795328256 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 79 + 532 + 8 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1339795328193 and 1339795328202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339795328257) 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, 12542785 + ... + 12649151.

It is an arithmetic number, because the mean of its divisors is an integer number (11305641984).

Almost surely, 2^{1339795328256} is an apocalyptic number.

1339795328256 is a gapful number since it is divisible by the number (16) 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 1339795328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442018668544).

1339795328256 is an abundant number, since it is smaller than the sum of its proper divisors (3544242008832).

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

1339795328256 is a wasteful number, since it uses less digits than its factorization.

1339795328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106478 (or 106461 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

It can be divided in two parts, 1339795 and 328256, that added together give a triangular number (1668051 = T₁₈₂₆).

The spelling of 1339795328256 in words is "one trillion, three hundred thirty-nine billion, seven hundred ninety-five million, three hundred twenty-eight thousand, two hundred fifty-six".