4224268762176 has 168 divisors, whose sum is σ = 11460028676544. Its totient is φ = 1373219993600.

The previous prime is 4224268762163. The next prime is 4224268762193. The reversal of 4224268762176 is 6712678624224.

It is a happy number.

It is a super-5 number, since 5×4224268762176⁵ (a number of 64 digits) contains 55555 as substring.

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, 90044326 + ... + 90091226.

It is an arithmetic number, because the mean of its divisors is an integer number (68214456408).

Almost surely, 2^{4224268762176} 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 4224268762176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730014338272).

4224268762176 is an abundant number, since it is smaller than the sum of its proper divisors (7235759914368).

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

4224268762176 is a wasteful number, since it uses less digits than its factorization.

4224268762176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47189 (or 47126 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 57.

The spelling of 4224268762176 in words is "four trillion, two hundred twenty-four billion, two hundred sixty-eight million, seven hundred sixty-two thousand, one hundred seventy-six".