4218404736 has 256 divisors, whose sum is σ = 14024102400. Its totient is φ = 1093754880.

The previous prime is 4218404713. The next prime is 4218404737. The reversal of 4218404736 is 6374048124.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 4218404694 and 4218404703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218404737) 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, 2130595 + ... + 2132573.

It is an arithmetic number, because the mean of its divisors is an integer number (54781650).

Almost surely, 2^4218404736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4218404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012051200).

4218404736 is an abundant number, since it is smaller than the sum of its proper divisors (9805697664).

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

4218404736 is a wasteful number, since it uses less digits than its factorization.

4218404736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4218404736 is about 64949.2473859397. The cubic root of 4218404736 is about 1615.7819363961.

The spelling of 4218404736 in words is "four billion, two hundred eighteen million, four hundred four thousand, seven hundred thirty-six".