13413001440 has 96 divisors (see below), whose sum is σ = 42559564320. Its totient is φ = 3550674944.

The previous prime is 13413001369. The next prime is 13413001489. The reversal of 13413001440 is 4410031431.

13413001440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36225 + ... + 167744.

It is an arithmetic number, because the mean of its divisors is an integer number (443328795).

Almost surely, 2^13413001440 is an apocalyptic number.

13413001440 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 13413001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21279782160).

13413001440 is an abundant number, since it is smaller than the sum of its proper divisors (29146562880).

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

13413001440 is a wasteful number, since it uses less digits than its factorization.

13413001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204124 (or 204116 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13413001440 its reverse (4410031431), we get a palindrome (17823032871).

The spelling of 13413001440 in words is "thirteen billion, four hundred thirteen million, one thousand, four hundred forty".