13530201440 has 144 divisors (see below), whose sum is σ = 38189681712. Its totient is φ = 4513453056.

The previous prime is 13530201431. The next prime is 13530201457. The reversal of 13530201440 is 4410203531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266759 + ... + 313401.

It is an arithmetic number, because the mean of its divisors is an integer number (265206123).

Almost surely, 2^13530201440 is an apocalyptic number.

13530201440 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 13530201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094840856).

13530201440 is an abundant number, since it is smaller than the sum of its proper divisors (24659480272).

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

13530201440 is a wasteful number, since it uses less digits than its factorization.

13530201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46709 (or 46694 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 13530201440 its reverse (4410203531), we get a palindrome (17940404971).

The spelling of 13530201440 in words is "thirteen billion, five hundred thirty million, two hundred one thousand, four hundred forty".