13340022896640 has 384 divisors, whose sum is σ = 47195298259200. Its totient is φ = 3189638430720.

The previous prime is 13340022896623. The next prime is 13340022896677. The reversal of 13340022896640 is 4669822004331.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×13340022896640³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13340022896640.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 24397771 + ... + 24938549.

It is an arithmetic number, because the mean of its divisors is an integer number (122904422550).

Almost surely, 2^{13340022896640} is an apocalyptic number.

13340022896640 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 13340022896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23597649129600).

13340022896640 is an abundant number, since it is smaller than the sum of its proper divisors (33855275362560).

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

13340022896640 is a wasteful number, since it uses less digits than its factorization.

13340022896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540893 (or 540873 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 13340022896640 in words is "thirteen trillion, three hundred forty billion, twenty-two million, eight hundred ninety-six thousand, six hundred forty".