4226629516800 has 480 divisors, whose sum is σ = 14327796399840. Its totient is φ = 1097701785600.

The previous prime is 4226629516789. The next prime is 4226629516817. The reversal of 4226629516800 is 86159266224.

It is a tau number, because it is divible by the number of its divisors (480).

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, 1059569206 + ... + 1059573194.

It is an arithmetic number, because the mean of its divisors is an integer number (29849575833).

Almost surely, 2^{4226629516800} is an apocalyptic number.

4226629516800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4226629516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163898199920).

4226629516800 is an abundant number, since it is smaller than the sum of its proper divisors (10101166883040).

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

4226629516800 is a wasteful number, since it uses less digits than its factorization.

4226629516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 4226629516800 in words is "four trillion, two hundred twenty-six billion, six hundred twenty-nine million, five hundred sixteen thousand, eight hundred".