13035440000 has 160 divisors (see below), whose sum is σ = 35403386040. Its totient is φ = 4739840000.

The previous prime is 13035439933. The next prime is 13035440027. The reversal of 13035440000 is 4453031.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 872594 + ... + 887406.

Almost surely, 2^13035440000 is an apocalyptic number.

13035440000 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 13035440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701693020).

13035440000 is an abundant number, since it is smaller than the sum of its proper divisors (22367946040).

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

13035440000 is an equidigital number, since it uses as much as digits as its factorization.

13035440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14858 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13035440000 its reverse (4453031), we get a palindrome (13039893031).

The spelling of 13035440000 in words is "thirteen billion, thirty-five million, four hundred forty thousand".