4142112000 has 288 divisors, whose sum is σ = 14820798720. Its totient is φ = 1019289600.

The previous prime is 4142111983. The next prime is 4142112011. The reversal of 4142112000 is 2112414.

4142112000 is digitally balanced in base 2, because in such base 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1246341 + ... + 1249659.

Almost surely, 2^4142112000 is an apocalyptic number.

4142112000 is a gapful number since it is divisible by the number (40) 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 4142112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410399360).

4142112000 is an abundant number, since it is smaller than the sum of its proper divisors (10678686720).

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

4142112000 is a wasteful number, since it uses less digits than its factorization.

4142112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4142112000 is about 64359.2417606050. The cubic root of 4142112000 is about 1605.9817752750.

Adding to 4142112000 its reverse (2112414), we get a palindrome (4144224414).

The spelling of 4142112000 in words is "four billion, one hundred forty-two million, one hundred twelve thousand".