13346040640 has 112 divisors (see below), whose sum is σ = 32865730560. Its totient is φ = 5156720640.

The previous prime is 13346040623. The next prime is 13346040683. The reversal of 13346040640 is 4604064331.

It is a happy number.

13346040640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×13346040640⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8024449 + ... + 8026111.

Almost surely, 2^13346040640 is an apocalyptic number.

13346040640 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 13346040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432865280).

13346040640 is an abundant number, since it is smaller than the sum of its proper divisors (19519689920).

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

13346040640 is a wasteful number, since it uses less digits than its factorization.

13346040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 13346040640 in words is "thirteen billion, three hundred forty-six million, forty thousand, six hundred forty".