4142781888 has 224 divisors, whose sum is σ = 13439485440. Its totient is φ = 1099837440.

The previous prime is 4142781887. The next prime is 4142781889. The reversal of 4142781888 is 8881872414.

It is an interprime number because it is at equal distance from previous prime (4142781887) and next prime (4142781889).

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

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 4142781888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142781887) 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 31 ways as a sum of consecutive naturals, for example, 1351878 + ... + 1354938.

Almost surely, 2^4142781888 is an apocalyptic number.

4142781888 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 4142781888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719742720).

4142781888 is an abundant number, since it is smaller than the sum of its proper divisors (9296703552).

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

4142781888 is a wasteful number, since it uses less digits than its factorization.

4142781888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3145 counting only the distinct ones).

The product of its digits is 917504, while the sum is 51.

The square root of 4142781888 is about 64364.4458377449. The cubic root of 4142781888 is about 1606.0683470471.

The spelling of 4142781888 in words is "four billion, one hundred forty-two million, seven hundred eighty-one thousand, eight hundred eighty-eight".