13364779861440 has 1568 divisors, whose sum is σ = 57095642797056. Its totient is φ = 2912110755840.

The previous prime is 13364779861427. The next prime is 13364779861523. The reversal of 13364779861440 is 4416897746331.

It is a happy number.

13364779861440 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 4 + 7 + 7 + 9 + 8 + 614 + 4 + 0 = 666.

13364779861440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 19567759339 + ... + 19567760021.

Almost surely, 2^{13364779861440} is an apocalyptic number.

13364779861440 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 13364779861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28547821398528).

13364779861440 is an abundant number, since it is smaller than the sum of its proper divisors (43730862935616).

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

13364779861440 is an equidigital number, since it uses as much as digits as its factorization.

13364779861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 13364779861440 in words is "thirteen trillion, three hundred sixty-four billion, seven hundred seventy-nine million, eight hundred sixty-one thousand, four hundred forty".