1424111200 has 72 divisors (see below), whose sum is σ = 3499932240. Its totient is φ = 565824000.

The previous prime is 1424111191. The next prime is 1424111231. The reversal of 1424111200 is 21114241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114906 + ... + 126694.

It is an arithmetic number, because the mean of its divisors is an integer number (48610170).

Almost surely, 2^1424111200 is an apocalyptic number.

1424111200 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 1424111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749966120).

1424111200 is an abundant number, since it is smaller than the sum of its proper divisors (2075821040).

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

1424111200 is a wasteful number, since it uses less digits than its factorization.

1424111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11960 (or 11947 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1424111200 is about 37737.3978965164. The cubic root of 1424111200 is about 1125.0745497922.

Adding to 1424111200 its reverse (21114241), we get a palindrome (1445225441).

The spelling of 1424111200 in words is "one billion, four hundred twenty-four million, one hundred eleven thousand, two hundred".