142144441400 has 144 divisors (see below), whose sum is σ = 357701715000. Its totient is φ = 52220678400.

The previous prime is 142144441349. The next prime is 142144441403. The reversal of 142144441400 is 4144441241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142144441403) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 284858351 + ... + 284858849.

Almost surely, 2^142144441400 is an apocalyptic number.

142144441400 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 142144441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178850857500).

142144441400 is an abundant number, since it is smaller than the sum of its proper divisors (215557273600).

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

142144441400 is a wasteful number, since it uses less digits than its factorization.

142144441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 142144441400 its reverse (4144441241), we get a palindrome (146288882641).

The spelling of 142144441400 in words is "one hundred forty-two billion, one hundred forty-four million, four hundred forty-one thousand, four hundred".