13235240400 has 480 divisors, whose sum is σ = 47502614400. Its totient is φ = 3135283200.

The previous prime is 13235240393. The next prime is 13235240407. The reversal of 13235240400 is 404253231.

13235240400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13235240393) and next prime (13235240407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13235240407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24464130 + ... + 24464670.

It is an arithmetic number, because the mean of its divisors is an integer number (98963780).

Almost surely, 2^13235240400 is an apocalyptic number.

13235240400 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 13235240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23751307200).

13235240400 is an abundant number, since it is smaller than the sum of its proper divisors (34267374000).

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

13235240400 is a wasteful number, since it uses less digits than its factorization.

13235240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 13235240400 its reverse (404253231), we get a palindrome (13639493631).

The spelling of 13235240400 in words is "thirteen billion, two hundred thirty-five million, two hundred forty thousand, four hundred".