13066493440 has 320 divisors, whose sum is σ = 42072307200. Its totient is φ = 3758653440.

The previous prime is 13066493423. The next prime is 13066493467. The reversal of 13066493440 is 4439466031.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13066493393 and 13066493402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2560011 + ... + 2565109.

It is an arithmetic number, because the mean of its divisors is an integer number (131475960).

Almost surely, 2^13066493440 is an apocalyptic number.

13066493440 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 13066493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21036153600).

13066493440 is an abundant number, since it is smaller than the sum of its proper divisors (29005813760).

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

13066493440 is a wasteful number, since it uses less digits than its factorization.

13066493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 13066493440 in words is "thirteen billion, sixty-six million, four hundred ninety-three thousand, four hundred forty".