41534023104 has 448 divisors, whose sum is σ = 148150681600. Its totient is φ = 11145931776.

The previous prime is 41534023103. The next prime is 41534023147. The reversal of 41534023104 is 40132043514.

It is a happy number.

41534023104 is a `hidden beast` number, since 4 + 1 + 5 + 340 + 2 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (41534023103) 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 63 ways as a sum of consecutive naturals, for example, 29186937 + ... + 29188359.

Almost surely, 2^41534023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41534023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74075340800).

41534023104 is an abundant number, since it is smaller than the sum of its proper divisors (106616658496).

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

41534023104 is a wasteful number, since it uses less digits than its factorization.

41534023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1581 counting only the distinct ones).

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

Adding to 41534023104 its reverse (40132043514), we get a palindrome (81666066618).

The spelling of 41534023104 in words is "forty-one billion, five hundred thirty-four million, twenty-three thousand, one hundred four".