14235142400 has 108 divisors (see below), whose sum is σ = 35832342000. Its totient is φ = 5597399040.

The previous prime is 14235142393. The next prime is 14235142409. The reversal of 14235142400 is 424153241.

It is a self number, because there is not a number n which added to its sum of digits gives 14235142400.

It is not an unprimeable number, because it can be changed into a prime (14235142409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358751 + ... + 396449.

Almost surely, 2^14235142400 is an apocalyptic number.

14235142400 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 14235142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17916171000).

14235142400 is an abundant number, since it is smaller than the sum of its proper divisors (21597199600).

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

14235142400 is an equidigital number, since it uses as much as digits as its factorization.

14235142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37784 (or 37765 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 14235142400 its reverse (424153241), we get a palindrome (14659295641).

The spelling of 14235142400 in words is "fourteen billion, two hundred thirty-five million, one hundred forty-two thousand, four hundred".