4226261090688 has 1280 divisors, whose sum is σ = 15884331724800. Its totient is φ = 1085811277824.

The previous prime is 4226261090687. The next prime is 4226261090729. The reversal of 4226261090688 is 8860901626224.

4226261090688 is a `hidden beast` number, since 4 + 2 + 2 + 626 + 1 + 0 + 9 + 0 + 6 + 8 + 8 = 666.

It is a super-3 number, since 3×4226261090688³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226261090687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11151084483 + ... + 11151084861.

It is an arithmetic number, because the mean of its divisors is an integer number (12409634160).

Almost surely, 2^{4226261090688} is an apocalyptic number.

4226261090688 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 4226261090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7942165862400).

4226261090688 is an abundant number, since it is smaller than the sum of its proper divisors (11658070634112).

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

4226261090688 is a wasteful number, since it uses less digits than its factorization.

4226261090688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 4226261090688 in words is "four trillion, two hundred twenty-six billion, two hundred sixty-one million, ninety thousand, six hundred eighty-eight".