41123410000 has 200 divisors, whose sum is σ = 107380627200. Its totient is φ = 15200640000.

The previous prime is 41123409997. The next prime is 41123410001. The reversal of 41123410000 is 1432114.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×41123410000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41123410001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7787361 + ... + 7792639.

It is an arithmetic number, because the mean of its divisors is an integer number (536903136).

Almost surely, 2^41123410000 is an apocalyptic number.

41123410000 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 41123410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53690313600).

41123410000 is an abundant number, since it is smaller than the sum of its proper divisors (66257217200).

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

41123410000 is a wasteful number, since it uses less digits than its factorization.

41123410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 41123410000 its reverse (1432114), we get a palindrome (41124842114).

The spelling of 41123410000 in words is "forty-one billion, one hundred twenty-three million, four hundred ten thousand".