14442053200 has 240 divisors, whose sum is σ = 36732648960. Its totient is φ = 5451264000.

The previous prime is 14442053189. The next prime is 14442053221. The reversal of 14442053200 is 235024441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91987522 + ... + 91987678.

It is an arithmetic number, because the mean of its divisors is an integer number (153052704).

Almost surely, 2^14442053200 is an apocalyptic number.

14442053200 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 14442053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18366324480).

14442053200 is an abundant number, since it is smaller than the sum of its proper divisors (22290595760).

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

14442053200 is a wasteful number, since it uses less digits than its factorization.

14442053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 14442053200 its reverse (235024441), we get a palindrome (14677077641).

The spelling of 14442053200 in words is "fourteen billion, four hundred forty-two million, fifty-three thousand, two hundred".