13301411040 has 144 divisors (see below), whose sum is σ = 45749104128. Its totient is φ = 3519065088.

The previous prime is 13301411023. The next prime is 13301411047. The reversal of 13301411040 is 4011410331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301411047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146514 + ... + 219246.

It is an arithmetic number, because the mean of its divisors is an integer number (317702112).

Almost surely, 2^13301411040 is an apocalyptic number.

13301411040 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 13301411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22874552064).

13301411040 is an abundant number, since it is smaller than the sum of its proper divisors (32447693088).

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

13301411040 is a wasteful number, since it uses less digits than its factorization.

13301411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72881 (or 72870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13301411040 its reverse (4011410331), we get a palindrome (17312821371).

The spelling of 13301411040 in words is "thirteen billion, three hundred one million, four hundred eleven thousand, forty".