4226765308240 has 80 divisors (see below), whose sum is σ = 9901178940240. Its totient is φ = 1677989150720.

The previous prime is 4226765308231. The next prime is 4226765308243. The reversal of 4226765308240 is 428035676224.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 249804038416 + 3976961269824 = 499804^2 + 1994232^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226765308243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51701316 + ... + 51783004.

It is an arithmetic number, because the mean of its divisors is an integer number (123764736753).

Almost surely, 2^{4226765308240} is an apocalyptic number.

4226765308240 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 4226765308240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950589470120).

4226765308240 is an abundant number, since it is smaller than the sum of its proper divisors (5674413632000).

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

4226765308240 is a wasteful number, since it uses less digits than its factorization.

4226765308240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86560 (or 86554 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

The spelling of 4226765308240 in words is "four trillion, two hundred twenty-six billion, seven hundred sixty-five million, three hundred eight thousand, two hundred forty".