4142268900 has 324 divisors, whose sum is σ = 16478476560. Its totient is φ = 860630400.

The previous prime is 4142268877. The next prime is 4142268919. The reversal of 4142268900 is 98622414.

4142268900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 480831 + ... + 489369.

Almost surely, 2^4142268900 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 4142268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239238280).

4142268900 is an abundant number, since it is smaller than the sum of its proper divisors (12336207660).

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

4142268900 is a wasteful number, since it uses less digits than its factorization.

4142268900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8584 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4142268900 is about 64360.4606882207. The cubic root of 4142268900 is about 1606.0020528016.

The spelling of 4142268900 in words is "four billion, one hundred forty-two million, two hundred sixty-eight thousand, nine hundred".