14241330400 has 72 divisors (see below), whose sum is σ = 37927275624. Its totient is φ = 5178662400.

The previous prime is 14241330373. The next prime is 14241330407. The reversal of 14241330400 is 403314241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241330407) 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, 800367 + ... + 817966.

It is an arithmetic number, because the mean of its divisors is an integer number (526767717).

Almost surely, 2^14241330400 is an apocalyptic number.

14241330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14241330400 is an abundant number, since it is smaller than the sum of its proper divisors (23685945224).

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

14241330400 is a wasteful number, since it uses less digits than its factorization.

14241330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618364 (or 1618351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14241330400 its reverse (403314241), we get a palindrome (14644644641).

The spelling of 14241330400 in words is "fourteen billion, two hundred forty-one million, three hundred thirty thousand, four hundred".