41133333413000 has 128 divisors (see below), whose sum is σ = 99612348825600. Its totient is φ = 15881643936000.

The previous prime is 41133333412943. The next prime is 41133333413023. The reversal of 41133333413000 is 31433333114.

41133333413000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41133333413000² (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 10353497 + ... + 13764503.

It is an arithmetic number, because the mean of its divisors is an integer number (778221475200).

Almost surely, 2^{41133333413000} is an apocalyptic number.

41133333413000 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 41133333413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49806174412800).

41133333413000 is an abundant number, since it is smaller than the sum of its proper divisors (58479015412600).

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

41133333413000 is a wasteful number, since it uses less digits than its factorization.

41133333413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411448 (or 3411434 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 41133333413000 its reverse (31433333114), we get a palindrome (41164766746114).

The spelling of 41133333413000 in words is "forty-one trillion, one hundred thirty-three billion, three hundred thirty-three million, four hundred thirteen thousand".