4218602879008 has 384 divisors, whose sum is σ = 10133235302400. Its totient is φ = 1691575861248.

The previous prime is 4218602878991. The next prime is 4218602879039. The reversal of 4218602879008 is 8009782068124.

It is a happy number.

It is a super-2 number, since 2×4218602879008² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4218602879008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4180973608 + ... + 4180974616.

It is an arithmetic number, because the mean of its divisors is an integer number (26388633600).

Almost surely, 2^{4218602879008} 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 4218602879008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066617651200).

4218602879008 is an abundant number, since it is smaller than the sum of its proper divisors (5914632423392).

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

4218602879008 is a wasteful number, since it uses less digits than its factorization.

4218602879008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 55.

The spelling of 4218602879008 in words is "four trillion, two hundred eighteen billion, six hundred two million, eight hundred seventy-nine thousand, eight".