1339962205680 has 1920 divisors, whose sum is σ = 5765390991360. Its totient is φ = 282802544640.

The previous prime is 1339962205627. The next prime is 1339962205691. The reversal of 1339962205680 is 865022699331.

1339962205680 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 9 + 622 + 0 + 5 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15055755076 + ... + 15055755164.

It is an arithmetic number, because the mean of its divisors is an integer number (3002807808).

Almost surely, 2^{1339962205680} is an apocalyptic number.

1339962205680 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 1339962205680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882695495680).

1339962205680 is an abundant number, since it is smaller than the sum of its proper divisors (4425428785680).

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

1339962205680 is a wasteful number, since it uses less digits than its factorization.

1339962205680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1339962205680 in words is "one trillion, three hundred thirty-nine billion, nine hundred sixty-two million, two hundred five thousand, six hundred eighty".