4458142900 has 216 divisors, whose sum is σ = 11319900480. Its totient is φ = 1516584960.

The previous prime is 4458142879. The next prime is 4458142901. The reversal of 4458142900 is 92418544.

It is a self number, because there is not a number n which added to its sum of digits gives 4458142900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4458142901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12629124 + ... + 12629476.

Almost surely, 2^4458142900 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 4458142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659950240).

4458142900 is an abundant number, since it is smaller than the sum of its proper divisors (6861757580).

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

4458142900 is a wasteful number, since it uses less digits than its factorization.

4458142900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 4458142900 is about 66769.3260412294. The cubic root of 4458142900 is about 1645.8288152558.

The spelling of 4458142900 in words is "four billion, four hundred fifty-eight million, one hundred forty-two thousand, nine hundred".