1442202133100 has 144 divisors (see below), whose sum is σ = 3196120435200. Its totient is φ = 564742886400.

The previous prime is 1442202133051. The next prime is 1442202133111. The reversal of 1442202133100 is 13312022441.

It is a super-2 number, since 2×1442202133100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111951652 + ... + 1111952948.

It is an arithmetic number, because the mean of its divisors is an integer number (22195280800).

Almost surely, 2^{1442202133100} is an apocalyptic number.

1442202133100 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 1442202133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598060217600).

1442202133100 is an abundant number, since it is smaller than the sum of its proper divisors (1753918302100).

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

1442202133100 is a wasteful number, since it uses less digits than its factorization.

1442202133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1442202133100 its reverse (13312022441), we get a palindrome (1455514155541).

The spelling of 1442202133100 in words is "one trillion, four hundred forty-two billion, two hundred two million, one hundred thirty-three thousand, one hundred".