41134340000 has 120 divisors (see below), whose sum is σ = 108981692820. Its totient is φ = 15187968000.

The previous prime is 41134339937. The next prime is 41134340011. The reversal of 41134340000 is 4343114.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 16571927824 + 24562412176 = 128732^2 + 156724^2 .

It is a super-3 number, since 3×41134340000³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180896 + ... + 339104.

Almost surely, 2^41134340000 is an apocalyptic number.

41134340000 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 41134340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54490846410).

41134340000 is an abundant number, since it is smaller than the sum of its proper divisors (67847352820).

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

41134340000 is a wasteful number, since it uses less digits than its factorization.

41134340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158252 (or 158229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 41134340000 its reverse (4343114), we get a palindrome (41138683114).

The spelling of 41134340000 in words is "forty-one billion, one hundred thirty-four million, three hundred forty thousand".