4226838432768 has 1320 divisors, whose sum is σ = 15613554401280. Its totient is φ = 1132464291840.

The previous prime is 4226838432731. The next prime is 4226838432769. The reversal of 4226838432768 is 8672348386224.

4226838432768 is a `hidden beast` number, since 4 + 226 + 8 + 3 + 84 + 327 + 6 + 8 = 666.

It is a super-2 number, since 2×4226838432768² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226838432769) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9807049513 + ... + 9807049943.

It is an arithmetic number, because the mean of its divisors is an integer number (11828450304).

Almost surely, 2^{4226838432768} is an apocalyptic number.

4226838432768 is a gapful number since it is divisible by the number (48) 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 4226838432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806777200640).

4226838432768 is an abundant number, since it is smaller than the sum of its proper divisors (11386715968512).

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

4226838432768 is a wasteful number, since it uses less digits than its factorization.

4226838432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 589 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 4226838432768 in words is "four trillion, two hundred twenty-six billion, eight hundred thirty-eight million, four hundred thirty-two thousand, seven hundred sixty-eight".