13392452996640 has 288 divisors, whose sum is σ = 46822746926592. Its totient is φ = 3483744768000.

The previous prime is 13392452996627. The next prime is 13392452996669. The reversal of 13392452996640 is 4669925429331.

13392452996640 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 2 + 4 + 529 + 9 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738640375 + ... + 738658505.

It is an arithmetic number, because the mean of its divisors is an integer number (162578982384).

Almost surely, 2^{13392452996640} is an apocalyptic number.

13392452996640 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 13392452996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23411373463296).

13392452996640 is an abundant number, since it is smaller than the sum of its proper divisors (33430293929952).

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

13392452996640 is a wasteful number, since it uses less digits than its factorization.

13392452996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30704 (or 30693 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 13392452996640 in words is "thirteen trillion, three hundred ninety-two billion, four hundred fifty-two million, nine hundred ninety-six thousand, six hundred forty".