4142500224 has 128 divisors (see below), whose sum is σ = 11176980480. Its totient is φ = 1359267840.

The previous prime is 4142500223. The next prime is 4142500249. The reversal of 4142500224 is 4220052414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4142500194 and 4142500203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142500223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8436619 + ... + 8437109.

It is an arithmetic number, because the mean of its divisors is an integer number (87320160).

Almost surely, 2^4142500224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588490240).

4142500224 is an abundant number, since it is smaller than the sum of its proper divisors (7034480256).

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

4142500224 is a wasteful number, since it uses less digits than its factorization.

4142500224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4142500224 is about 64362.2577602744. The cubic root of 4142500224 is about 1606.0319478433.

Adding to 4142500224 its reverse (4220052414), we get a palindrome (8362552638).

The spelling of 4142500224 in words is "four billion, one hundred forty-two million, five hundred thousand, two hundred twenty-four".