41610126096 has 240 divisors, whose sum is σ = 145538684928. Its totient is φ = 10781510400.

The previous prime is 41610126067. The next prime is 41610126101. The reversal of 41610126096 is 69062101614.

41610126096 is a `hidden beast` number, since 41 + 6 + 1 + 0 + 1 + 2 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41610126096.

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 47 ways as a sum of consecutive naturals, for example, 4774575 + ... + 4783281.

Almost surely, 2^41610126096 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 41610126096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72769342464).

41610126096 is an abundant number, since it is smaller than the sum of its proper divisors (103928558832).

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

41610126096 is a wasteful number, since it uses less digits than its factorization.

41610126096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 41610126096 in words is "forty-one billion, six hundred ten million, one hundred twenty-six thousand, ninety-six".