1442200144 has 120 divisors (see below), whose sum is σ = 3587716800. Its totient is φ = 555287040.

The previous prime is 1442200139. The next prime is 1442200169. The reversal of 1442200144 is 4410022441.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 766597 + ... + 768475.

It is an arithmetic number, because the mean of its divisors is an integer number (29897640).

Almost surely, 2^1442200144 is an apocalyptic number.

1442200144 is a gapful number since it is divisible by the number (14) 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 1442200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793858400).

1442200144 is an abundant number, since it is smaller than the sum of its proper divisors (2145516656).

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

1442200144 is a wasteful number, since it uses less digits than its factorization.

1442200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1442200144 is about 37976.3102999752. The cubic root of 1442200144 is about 1129.8180572183.

Adding to 1442200144 its reverse (4410022441), we get a palindrome (5852222585).

The spelling of 1442200144 in words is "one billion, four hundred forty-two million, two hundred thousand, one hundred forty-four".