142332414224 has 480 divisors, whose sum is σ = 397533722880. Its totient is φ = 47900160000.

The previous prime is 142332414223. The next prime is 142332414239. The reversal of 142332414224 is 422414233241.

It is a happy number.

It is a super-2 number, since 2×142332414224² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142332414223) 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 95 ways as a sum of consecutive naturals, for example, 338081534 + ... + 338081954.

It is an arithmetic number, because the mean of its divisors is an integer number (828195256).

Almost surely, 2^142332414224 is an apocalyptic number.

142332414224 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 142332414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198766861440).

142332414224 is an abundant number, since it is smaller than the sum of its proper divisors (255201308656).

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

142332414224 is a wasteful number, since it uses less digits than its factorization.

142332414224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 574 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

Adding to 142332414224 its reverse (422414233241), we get a palindrome (564746647465).

The spelling of 142332414224 in words is "one hundred forty-two billion, three hundred thirty-two million, four hundred fourteen thousand, two hundred twenty-four".