4142619288 has 96 divisors (see below), whose sum is σ = 11724672960. Its totient is φ = 1370247840.

The previous prime is 4142619287. The next prime is 4142619293. The reversal of 4142619288 is 8829162414.

4142619288 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 619 + 28 + 8 = 666.

It is a super-2 number, since 2×4142619288² = 34322589130619253888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142619281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246531 + ... + 262797.

It is an arithmetic number, because the mean of its divisors is an integer number (122132010).

Almost surely, 2^4142619288 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 4142619288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862336480).

4142619288 is an abundant number, since it is smaller than the sum of its proper divisors (7582053672).

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

4142619288 is a wasteful number, since it uses less digits than its factorization.

4142619288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16419 (or 16403 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 4142619288 is about 64363.1827056431. The cubic root of 4142619288 is about 1606.0473345860.

The spelling of 4142619288 in words is "four billion, one hundred forty-two million, six hundred nineteen thousand, two hundred eighty-eight".