4142431296 has 168 divisors, whose sum is σ = 12352121600. Its totient is φ = 1325859840.

The previous prime is 4142431291. The next prime is 4142431301. The reversal of 4142431296 is 6921342414.

4142431296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4142431291) and next prime (4142431301).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 4142431296.

It is not an unprimeable number, because it can be changed into a prime (4142431291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2481150 + ... + 2482818.

Almost surely, 2^4142431296 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 4142431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176060800).

4142431296 is an abundant number, since it is smaller than the sum of its proper divisors (8209690304).

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

4142431296 is a wasteful number, since it uses less digits than its factorization.

4142431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1844 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4142431296 is about 64361.7222889506. The cubic root of 4142431296 is about 1606.0230400840.

The spelling of 4142431296 in words is "four billion, one hundred forty-two million, four hundred thirty-one thousand, two hundred ninety-six".