4218127872 has 320 divisors, whose sum is σ = 13793117184. Its totient is φ = 1119191040.

The previous prime is 4218127861. The next prime is 4218127877. The reversal of 4218127872 is 2787218124.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (4218127877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9149722 + ... + 9150182.

Almost surely, 2^4218127872 is an apocalyptic number.

4218127872 is a gapful number since it is divisible by the number (42) 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 4218127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896558592).

4218127872 is an abundant number, since it is smaller than the sum of its proper divisors (9574989312).

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

4218127872 is a wasteful number, since it uses less digits than its factorization.

4218127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its digits is 100352, while the sum is 42.

The square root of 4218127872 is about 64947.1159636823. The cubic root of 4218127872 is about 1615.7465864107.

The spelling of 4218127872 in words is "four billion, two hundred eighteen million, one hundred twenty-seven thousand, eight hundred seventy-two".