41132061000 has 768 divisors, whose sum is σ = 154543334400. Its totient is φ = 9824256000.

The previous prime is 41132060953. The next prime is 41132061001. The reversal of 41132061000 is 16023114.

It is a happy number.

41132061000 is a `hidden beast` number, since 41 + 13 + 2 + 0 + 610 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41132061001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 495566959 + ... + 495567041.

It is an arithmetic number, because the mean of its divisors is an integer number (201228300).

Almost surely, 2^41132061000 is an apocalyptic number.

41132061000 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 41132061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77271667200).

41132061000 is an abundant number, since it is smaller than the sum of its proper divisors (113411273400).

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

41132061000 is a wasteful number, since it uses less digits than its factorization.

41132061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 41132061000 its reverse (16023114), we get a palindrome (41148084114).

The spelling of 41132061000 in words is "forty-one billion, one hundred thirty-two million, sixty-one thousand".