4218358144 has 384 divisors, whose sum is σ = 11805675840. Its totient is φ = 1459814400.

The previous prime is 4218358141. The next prime is 4218358153. The reversal of 4218358144 is 4418538124.

4218358144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4218358144² = 35589090862102249472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4218358097 and 4218358106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218358141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57785692 + ... + 57785764.

Almost surely, 2^4218358144 is an apocalyptic number.

4218358144 is a gapful number since it is divisible by the number (44) 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 4218358144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902837920).

4218358144 is an abundant number, since it is smaller than the sum of its proper divisors (7587317696).

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

4218358144 is a wasteful number, since it uses less digits than its factorization.

4218358144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its digits is 122880, while the sum is 40.

The square root of 4218358144 is about 64948.8887048886. Note that the first 3 decimals coincide. The cubic root of 4218358144 is about 1615.7759876395.

The spelling of 4218358144 in words is "four billion, two hundred eighteen million, three hundred fifty-eight thousand, one hundred forty-four".