13040020440 has 128 divisors (see below), whose sum is σ = 43990732800. Its totient is φ = 3435419520.

The previous prime is 13040020423. The next prime is 13040020463. The reversal of 13040020440 is 4402004031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16905 + ... + 162375.

It is an arithmetic number, because the mean of its divisors is an integer number (343677600).

Almost surely, 2^13040020440 is an apocalyptic number.

13040020440 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 13040020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21995366400).

13040020440 is an abundant number, since it is smaller than the sum of its proper divisors (30950712360).

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

13040020440 is a wasteful number, since it uses less digits than its factorization.

13040020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145574 (or 145564 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13040020440 its reverse (4402004031), we get a palindrome (17442024471).

The spelling of 13040020440 in words is "thirteen billion, forty million, twenty thousand, four hundred forty".