4218042005730 has 512 divisors, whose sum is σ = 13539685662720. Its totient is φ = 914270976000.

The previous prime is 4218042005659. The next prime is 4218042005753. The reversal of 4218042005730 is 375002408124.

It is a happy number.

4218042005730 is a `hidden beast` number, since 4 + 2 + 1 + 80 + 4 + 2 + 0 + 0 + 573 + 0 = 666.

It is a super-2 number, since 2×4218042005730² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 824961654 + ... + 824966766.

It is an arithmetic number, because the mean of its divisors is an integer number (26444698560).

Almost surely, 2^{4218042005730} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4218042005730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769842831360).

4218042005730 is an abundant number, since it is smaller than the sum of its proper divisors (9321643656990).

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

4218042005730 is a wasteful number, since it uses less digits than its factorization.

4218042005730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 4218042005730 in words is "four trillion, two hundred eighteen billion, forty-two million, five thousand, seven hundred thirty".