13392014912640 has 1536 divisors, whose sum is σ = 59496806154240. Its totient is φ = 2802943180800.

The previous prime is 13392014912623. The next prime is 13392014912669. The reversal of 13392014912640 is 4621941029331.

13392014912640 is a `hidden beast` number, since 1 + 33 + 92 + 0 + 1 + 491 + 2 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1797340915 + ... + 1797348365.

It is an arithmetic number, because the mean of its divisors is an integer number (38734899840).

Almost surely, 2^{13392014912640} is an apocalyptic number.

13392014912640 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 13392014912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29748403077120).

13392014912640 is an abundant number, since it is smaller than the sum of its proper divisors (46104791241600).

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

13392014912640 is a wasteful number, since it uses less digits than its factorization.

13392014912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7632 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13392014912640 in words is "thirteen trillion, three hundred ninety-two billion, fourteen million, nine hundred twelve thousand, six hundred forty".