4002218946 has 48 divisors (see below), whose sum is σ = 9490160160. Its totient is φ = 1208900160.

The previous prime is 4002218939. The next prime is 4002218953. The reversal of 4002218946 is 6498122004.

It is an interprime number because it is at equal distance from previous prime (4002218939) and next prime (4002218953).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4002218946.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29685 + ... + 94263.

It is an arithmetic number, because the mean of its divisors is an integer number (197711670).

Almost surely, 2^4002218946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002218946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745080080).

4002218946 is an abundant number, since it is smaller than the sum of its proper divisors (5487941214).

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

4002218946 is a wasteful number, since it uses less digits than its factorization.

4002218946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64911 (or 64908 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4002218946 is about 63263.0930796148. The cubic root of 4002218946 is about 1587.6945274756.

The spelling of 4002218946 in words is "four billion, two million, two hundred eighteen thousand, nine hundred forty-six".