41142264096 has 96 divisors (see below), whose sum is σ = 110825402688. Its totient is φ = 13356277760.

The previous prime is 41142264083. The next prime is 41142264143. The reversal of 41142264096 is 69046224114.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2325235 + ... + 2342861.

It is an arithmetic number, because the mean of its divisors is an integer number (1154431278).

Almost surely, 2^41142264096 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 41142264096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55412701344).

41142264096 is an abundant number, since it is smaller than the sum of its proper divisors (69683138592).

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

41142264096 is a wasteful number, since it uses less digits than its factorization.

41142264096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18274 (or 18266 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 41142264096 in words is "forty-one billion, one hundred forty-two million, two hundred sixty-four thousand, ninety-six".