41123252352 has 640 divisors, whose sum is σ = 142073890560. Its totient is φ = 10469523456.

The previous prime is 41123252341. The next prime is 41123252371. The reversal of 41123252352 is 25325232114.

It is a super-2 number, since 2×41123252352² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 563332188 + ... + 563332260.

It is an arithmetic number, because the mean of its divisors is an integer number (221990454).

Almost surely, 2^41123252352 is an apocalyptic number.

41123252352 is a gapful number since it is divisible by the number (42) 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 41123252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71036945280).

41123252352 is an abundant number, since it is smaller than the sum of its proper divisors (100950638208).

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

41123252352 is an equidigital number, since it uses as much as digits as its factorization.

41123252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

Adding to 41123252352 its reverse (25325232114), we get a palindrome (66448484466).

The spelling of 41123252352 in words is "forty-one billion, one hundred twenty-three million, two hundred fifty-two thousand, three hundred fifty-two".