4142142144 has 224 divisors, whose sum is σ = 13966179840. Its totient is φ = 1179270144.

The previous prime is 4142142107. The next prime is 4142142167. The reversal of 4142142144 is 4412412414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4142142144² = 34314683082201833472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 5358142 + ... + 5358914.

Almost surely, 2^4142142144 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 4142142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983089920).

4142142144 is an abundant number, since it is smaller than the sum of its proper divisors (9824037696).

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

4142142144 is a wasteful number, since it uses less digits than its factorization.

4142142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1228 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 4142142144 is about 64359.4759456601. The cubic root of 4142142144 is about 1605.9856710813.

Adding to 4142142144 its reverse (4412412414), we get a palindrome (8554554558).

The spelling of 4142142144 in words is "four billion, one hundred forty-two million, one hundred forty-two thousand, one hundred forty-four".