41134411001000 has 64 divisors (see below), whose sum is σ = 96337288457280. Its totient is φ = 16439616244800.

The previous prime is 41134411000997. The next prime is 41134411001027. The reversal of 41134411001000 is 10011443114.

41134411001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16521614 + ... + 18847613.

It is an arithmetic number, because the mean of its divisors is an integer number (1505270132145).

Almost surely, 2^{41134411001000} is an apocalyptic number.

41134411001000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41134411001000 is an abundant number, since it is smaller than the sum of its proper divisors (55202877456280).

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

41134411001000 is a wasteful number, since it uses less digits than its factorization.

41134411001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35370411 (or 35370397 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 41134411001000 its reverse (10011443114), we get a palindrome (41144422444114).

The spelling of 41134411001000 in words is "forty-one trillion, one hundred thirty-four billion, four hundred eleven million, one thousand".