13424204040 has 384 divisors, whose sum is σ = 45637447680. Its totient is φ = 3153945600.

The previous prime is 13424204039. The next prime is 13424204041. The reversal of 13424204040 is 4040242431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13424204039) and next prime (13424204041).

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 13424204040.

It is not an unprimeable number, because it can be changed into a prime (13424204041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82356999 + ... + 82357161.

It is an arithmetic number, because the mean of its divisors is an integer number (118847520).

Almost surely, 2^13424204040 is an apocalyptic number.

13424204040 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 13424204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22818723840).

13424204040 is an abundant number, since it is smaller than the sum of its proper divisors (32213243640).

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

13424204040 is a wasteful number, since it uses less digits than its factorization.

13424204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 13424204040 its reverse (4040242431), we get a palindrome (17464446471).

The spelling of 13424204040 in words is "thirteen billion, four hundred twenty-four million, two hundred four thousand, forty".