4123205262 has 256 divisors, whose sum is σ = 11339274240. Its totient is φ = 1094860800.

The previous prime is 4123205249. The next prime is 4123205263. The reversal of 4123205262 is 2625023214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123205263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9522198 + ... + 9522630.

It is an arithmetic number, because the mean of its divisors is an integer number (44294040).

Almost surely, 2^4123205262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123205262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669637120).

4123205262 is an abundant number, since it is smaller than the sum of its proper divisors (7216068978).

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

4123205262 is a wasteful number, since it uses less digits than its factorization.

4123205262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4123205262 is about 64212.1893568503. The cubic root of 4123205262 is about 1603.5345379741.

Adding to 4123205262 its reverse (2625023214), we get a palindrome (6748228476).

The spelling of 4123205262 in words is "four billion, one hundred twenty-three million, two hundred five thousand, two hundred sixty-two".