4142556288 has 192 divisors, whose sum is σ = 13253210880. Its totient is φ = 1233377280.

The previous prime is 4142556287. The next prime is 4142556307. The reversal of 4142556288 is 8826552414.

4142556288 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 5 + 562 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4142556281) 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, 459795 + ... + 468717.

It is an arithmetic number, because the mean of its divisors is an integer number (69027140).

Almost surely, 2^4142556288 is an apocalyptic number.

4142556288 is a gapful number since it is divisible by the number (48) 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 4142556288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626605440).

4142556288 is an abundant number, since it is smaller than the sum of its proper divisors (9110654592).

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

4142556288 is a wasteful number, since it uses less digits than its factorization.

4142556288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987 (or 8972 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 4142556288 is about 64362.6932935532. The cubic root of 4142556288 is about 1606.0391930788.

The spelling of 4142556288 in words is "four billion, one hundred forty-two million, five hundred fifty-six thousand, two hundred eighty-eight".