13265401440 has 192 divisors, whose sum is σ = 42561469440. Its totient is φ = 3472250880.

The previous prime is 13265401439. The next prime is 13265401441. The reversal of 13265401440 is 4410456231.

It is an interprime number because it is at equal distance from previous prime (13265401439) and next prime (13265401441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13265401398 and 13265401407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13265401441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9166797 + ... + 9168243.

It is an arithmetic number, because the mean of its divisors is an integer number (221674320).

Almost surely, 2^13265401440 is an apocalyptic number.

13265401440 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 13265401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21280734720).

13265401440 is an abundant number, since it is smaller than the sum of its proper divisors (29296068000).

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

13265401440 is a wasteful number, since it uses less digits than its factorization.

13265401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13265401440 its reverse (4410456231), we get a palindrome (17675857671).

The spelling of 13265401440 in words is "thirteen billion, two hundred sixty-five million, four hundred one thousand, four hundred forty".