4228606410624 has 192 divisors, whose sum is σ = 12468903361200. Its totient is φ = 1374802329600.

The previous prime is 4228606410607. The next prime is 4228606410647. The reversal of 4228606410624 is 4260146068224.

4228606410624 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 6 + 0 + 6 + 4 + 10 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4228606410624² (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 4228606410624.

It is a congruent number.

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, 35060824 + ... + 35181224.

Almost surely, 2^{4228606410624} 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 4228606410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234451680600).

4228606410624 is an abundant number, since it is smaller than the sum of its proper divisors (8240296950576).

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

4228606410624 is a wasteful number, since it uses less digits than its factorization.

4228606410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121173 (or 121158 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 4228606410624 in words is "four trillion, two hundred twenty-eight billion, six hundred six million, four hundred ten thousand, six hundred twenty-four".