1442101200 has 120 divisors (see below), whose sum is σ = 4732363776. Its totient is φ = 375168000.

The previous prime is 1442101181. The next prime is 1442101201. The reversal of 1442101200 is 21012441.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1442101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34545 + ... + 63855.

Almost surely, 2^1442101200 is an apocalyptic number.

1442101200 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 1442101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366181888).

1442101200 is an abundant number, since it is smaller than the sum of its proper divisors (3290262576).

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

1442101200 is a wasteful number, since it uses less digits than its factorization.

1442101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29373 (or 29362 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1442101200 is about 37975.0075707695. The cubic root of 1442101200 is about 1129.7922190860.

Adding to 1442101200 its reverse (21012441), we get a palindrome (1463113641).

The spelling of 1442101200 in words is "one billion, four hundred forty-two million, one hundred one thousand, two hundred".