41133403132000 has 192 divisors, whose sum is σ = 104371617692160. Its totient is φ = 15915481344000.

The previous prime is 41133403131913. The next prime is 41133403132091. The reversal of 41133403132000 is 23130433114.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281282902 + ... + 281429098.

It is an arithmetic number, because the mean of its divisors is an integer number (543602175480).

Almost surely, 2^{41133403132000} is an apocalyptic number.

41133403132000 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 41133403132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52185808846080).

41133403132000 is an abundant number, since it is smaller than the sum of its proper divisors (63238214560160).

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

41133403132000 is a wasteful number, since it uses less digits than its factorization.

41133403132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148522 (or 148504 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 41133403132000 its reverse (23130433114), we get a palindrome (41156533565114).

The spelling of 41133403132000 in words is "forty-one trillion, one hundred thirty-three billion, four hundred three million, one hundred thirty-two thousand".