13002433440 has 288 divisors, whose sum is σ = 43092290304. Its totient is φ = 3293982720.

The previous prime is 13002433399. The next prime is 13002433441. The reversal of 13002433440 is 4433420031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13002433440.

It is not an unprimeable number, because it can be changed into a prime (13002433441) 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, 30884430 + ... + 30884850.

It is an arithmetic number, because the mean of its divisors is an integer number (149626008).

Almost surely, 2^13002433440 is an apocalyptic number.

13002433440 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 13002433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21546145152).

13002433440 is an abundant number, since it is smaller than the sum of its proper divisors (30089856864).

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

13002433440 is a wasteful number, since it uses less digits than its factorization.

13002433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13002433440 its reverse (4433420031), we get a palindrome (17435853471).

The spelling of 13002433440 in words is "thirteen billion, two million, four hundred thirty-three thousand, four hundred forty".