41134132000 has 192 divisors, whose sum is σ = 109592028000. Its totient is φ = 15083212800.

The previous prime is 41134131919. The next prime is 41134132007. The reversal of 41134132000 is 23143114.

It can be written as a sum of positive squares in 16 ways, for example, as 28741099024 + 12393032976 = 169532^2 + 111324^2 .

It is not an unprimeable number, because it can be changed into a prime (41134132007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7745346 + ... + 7750654.

Almost surely, 2^41134132000 is an apocalyptic number.

41134132000 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 41134132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54796014000).

41134132000 is an abundant number, since it is smaller than the sum of its proper divisors (68457896000).

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

41134132000 is a wasteful number, since it uses less digits than its factorization.

41134132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 41134132000 its reverse (23143114), we get a palindrome (41157275114).

The spelling of 41134132000 in words is "forty-one billion, one hundred thirty-four million, one hundred thirty-two thousand".