1339702640640 has 1152 divisors, whose sum is σ = 5894842262400. Its totient is φ = 282662535168.

The previous prime is 1339702640599. The next prime is 1339702640657. The reversal of 1339702640640 is 460462079331.

1339702640640 is a `hidden beast` number, since 133 + 9 + 70 + 2 + 6 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103054049274 + ... + 103054049286.

It is an arithmetic number, because the mean of its divisors is an integer number (5117050575).

Almost surely, 2^{1339702640640} is an apocalyptic number.

1339702640640 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 1339702640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947421131200).

1339702640640 is an abundant number, since it is smaller than the sum of its proper divisors (4555139621760).

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

1339702640640 is an frugal number, since it uses more digits than its factorization.

1339702640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1339702640640 in words is "one trillion, three hundred thirty-nine billion, seven hundred two million, six hundred forty thousand, six hundred forty".