13003237440 has 336 divisors, whose sum is σ = 47554743600. Its totient is φ = 3249930240.

The previous prime is 13003237439. The next prime is 13003237441. The reversal of 13003237440 is 4473230031.

It is an interprime number because it is at equal distance from previous prime (13003237439) and next prime (13003237441).

It can be written as a sum of positive squares in 8 ways, for example, as 365880384 + 12637357056 = 19128^2 + 112416^2 .

It is not an unprimeable number, because it can be changed into a prime (13003237441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17086660 + ... + 17087420.

It is an arithmetic number, because the mean of its divisors is an integer number (141531975).

Almost surely, 2^13003237440 is an apocalyptic number.

13003237440 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 13003237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777371800).

13003237440 is an abundant number, since it is smaller than the sum of its proper divisors (34551506160).

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

13003237440 is a wasteful number, since it uses less digits than its factorization.

13003237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 13003237440 its reverse (4473230031), we get a palindrome (17476467471).

The spelling of 13003237440 in words is "thirteen billion, three million, two hundred thirty-seven thousand, four hundred forty".