4021218432 has 768 divisors, whose sum is σ = 15825438720. Its totient is φ = 985374720.

The previous prime is 4021218427. The next prime is 4021218457. The reversal of 4021218432 is 2348121204.

4021218432 is a `hidden beast` number, since 4 + 0 + 212 + 18 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4021218396 and 4021218405.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55085148 + ... + 55085220.

It is an arithmetic number, because the mean of its divisors is an integer number (20606040).

Almost surely, 2^4021218432 is an apocalyptic number.

4021218432 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 4021218432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912719360).

4021218432 is an abundant number, since it is smaller than the sum of its proper divisors (11804220288).

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

4021218432 is a wasteful number, since it uses less digits than its factorization.

4021218432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4021218432 is about 63413.0777679179. The cubic root of 4021218432 is about 1590.2029502421.

Adding to 4021218432 its reverse (2348121204), we get a palindrome (6369339636).

The spelling of 4021218432 in words is "four billion, twenty-one million, two hundred eighteen thousand, four hundred thirty-two".