1339731394560 has 1440 divisors, whose sum is σ = 5386127265792. Its totient is φ = 317230940160.

The previous prime is 1339731394553. The next prime is 1339731394571. The reversal of 1339731394560 is 654931379331.

It is a happy number.

1339731394560 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 73 + 1 + 3 + 9 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1339731394497 and 1339731394506.

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, 8022343597 + ... + 8022343763.

Almost surely, 2^{1339731394560} is an apocalyptic number.

1339731394560 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 1339731394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693063632896).

1339731394560 is an abundant number, since it is smaller than the sum of its proper divisors (4046395871232).

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

1339731394560 is an equidigital number, since it uses as much as digits as its factorization.

1339731394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 1339731394560 in words is "one trillion, three hundred thirty-nine billion, seven hundred thirty-one million, three hundred ninety-four thousand, five hundred sixty".