1442021200 has 60 divisors (see below), whose sum is σ = 3470697628. Its totient is φ = 575769600.

The previous prime is 1442021177. The next prime is 1442021213. The reversal of 1442021200 is 21202441.

It can be written as a sum of positive squares in 6 ways, for example, as 145733184 + 1296288016 = 12072^2 + 36004^2 .

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242260 + ... + 248140.

Almost surely, 2^1442021200 is an apocalyptic number.

1442021200 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 1442021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735348814).

1442021200 is an abundant number, since it is smaller than the sum of its proper divisors (2028676428).

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

1442021200 is a wasteful number, since it uses less digits than its factorization.

1442021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1442021200 is about 37973.9542318153. The cubic root of 1442021200 is about 1129.7713271059.

Adding to 1442021200 its reverse (21202441), we get a palindrome (1463223641).

The spelling of 1442021200 in words is "one billion, four hundred forty-two million, twenty-one thousand, two hundred".