41234414311230 has 128 divisors (see below), whose sum is σ = 119161880248320. Its totient is φ = 8920770744960.

The previous prime is 41234414311213. The next prime is 41234414311231. The reversal of 41234414311230 is 3211341443214.

It is a happy number.

It is a super-3 number, since 3×41234414311230³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 41234414311191 and 41234414311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41234414311231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383134 + ... + 9089313.

It is an arithmetic number, because the mean of its divisors is an integer number (930952189440).

Almost surely, 2^{41234414311230} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41234414311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59580940124160).

41234414311230 is an abundant number, since it is smaller than the sum of its proper divisors (77927465937090).

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

41234414311230 is a wasteful number, since it uses less digits than its factorization.

41234414311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9473574.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 41234414311230 its reverse (3211341443214), we get a palindrome (44445755754444).

The spelling of 41234414311230 in words is "forty-one trillion, two hundred thirty-four billion, four hundred fourteen million, three hundred eleven thousand, two hundred thirty".