14435220400 has 120 divisors (see below), whose sum is σ = 35589597120. Its totient is φ = 5623537920.

The previous prime is 14435220361. The next prime is 14435220433. The reversal of 14435220400 is 402253441.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7205799 + ... + 7207801.

It is an arithmetic number, because the mean of its divisors is an integer number (296579976).

Almost surely, 2^14435220400 is an apocalyptic number.

14435220400 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 14435220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794798560).

14435220400 is an abundant number, since it is smaller than the sum of its proper divisors (21154376720).

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

14435220400 is a wasteful number, since it uses less digits than its factorization.

14435220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2472 counting only the distinct ones).

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

Adding to 14435220400 its reverse (402253441), we get a palindrome (14837473841).

The spelling of 14435220400 in words is "fourteen billion, four hundred thirty-five million, two hundred twenty thousand, four hundred".