41314442232 has 128 divisors (see below), whose sum is σ = 124440422400. Its totient is φ = 11166076800.

The previous prime is 41314442201. The next prime is 41314442237. The reversal of 41314442232 is 23224441314.

It is a super-3 number, since 3×41314442232³ (a number of 33 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41314442232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41314442237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196307 + ... + 2215037.

It is an arithmetic number, because the mean of its divisors is an integer number (972190800).

Almost surely, 2^41314442232 is an apocalyptic number.

41314442232 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 41314442232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62220211200).

41314442232 is an abundant number, since it is smaller than the sum of its proper divisors (83125980168).

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

41314442232 is a wasteful number, since it uses less digits than its factorization.

41314442232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19457 (or 19453 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 41314442232 its reverse (23224441314), we get a palindrome (64538883546).

The spelling of 41314442232 in words is "forty-one billion, three hundred fourteen million, four hundred forty-two thousand, two hundred thirty-two".