13039165440 has 672 divisors, whose sum is σ = 53650262016. Its totient is φ = 2866544640.

The previous prime is 13039165421. The next prime is 13039165441. The reversal of 13039165440 is 4456193031.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13039165395 and 13039165404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13039165441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79994799 + ... + 79994961.

Almost surely, 2^13039165440 is an apocalyptic number.

13039165440 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 13039165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26825131008).

13039165440 is an abundant number, since it is smaller than the sum of its proper divisors (40611096576).

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

13039165440 is a wasteful number, since it uses less digits than its factorization.

13039165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13039165440 in words is "thirteen billion, thirty-nine million, one hundred sixty-five thousand, four hundred forty".