4184226816 has 528 divisors, whose sum is σ = 14974214400. Its totient is φ = 1029611520.

The previous prime is 4184226803. The next prime is 4184226859. The reversal of 4184226816 is 6186224814.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220222455 + ... + 220222473.

Almost surely, 2^4184226816 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 4184226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487107200).

4184226816 is an abundant number, since it is smaller than the sum of its proper divisors (10789987584).

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

4184226816 is a wasteful number, since it uses less digits than its factorization.

4184226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 42 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 4184226816 is about 64685.5997575967. The cubic root of 4184226816 is about 1611.4063578103.

The spelling of 4184226816 in words is "four billion, one hundred eighty-four million, two hundred twenty-six thousand, eight hundred sixteen".