1339040802816 has 960 divisors, whose sum is σ = 4469658233040. Its totient is φ = 397494190080.

The previous prime is 1339040802773. The next prime is 1339040802871. The reversal of 1339040802816 is 6182080409331.

1339040802816 is a `hidden beast` number, since 133 + 90 + 408 + 0 + 28 + 1 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 337440162816 + 1001600640000 = 580896^2 + 1000800^2 .

It is a super-2 number, since 2×1339040802816² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4278085476 + ... + 4278085788.

Almost surely, 2^{1339040802816} is an apocalyptic number.

1339040802816 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 1339040802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234829116520).

1339040802816 is an abundant number, since it is smaller than the sum of its proper divisors (3130617430224).

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

1339040802816 is a wasteful number, since it uses less digits than its factorization.

1339040802816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1339040802816 in words is "one trillion, three hundred thirty-nine billion, forty million, eight hundred two thousand, eight hundred sixteen".