13014413440 has 128 divisors (see below), whose sum is σ = 36140901120. Its totient is φ = 4388843520.

The previous prime is 13014413429. The next prime is 13014413443. The reversal of 13014413440 is 4431441031.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13014413443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249469 + ... + 297091.

It is an arithmetic number, because the mean of its divisors is an integer number (282350790).

Almost surely, 2^13014413440 is an apocalyptic number.

13014413440 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 13014413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070450560).

13014413440 is an abundant number, since it is smaller than the sum of its proper divisors (23126487680).

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

13014413440 is an equidigital number, since it uses as much as digits as its factorization.

13014413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47710 (or 47698 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13014413440 its reverse (4431441031), we get a palindrome (17445854471).

The spelling of 13014413440 in words is "thirteen billion, fourteen million, four hundred thirteen thousand, four hundred forty".