41201413411032 has 384 divisors, whose sum is σ = 130588350197760. Its totient is φ = 11490740766720.

The previous prime is 41201413411019. The next prime is 41201413411049. The reversal of 41201413411032 is 23011431410214.

It is a happy number.

41201413411032 is a `hidden beast` number, since 4 + 1 + 201 + 4 + 13 + 411 + 0 + 32 = 666.

41201413411032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41201413410987 and 41201413411005.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 20673061428 + ... + 20673063420.

It is an arithmetic number, because the mean of its divisors is an integer number (340073828640).

Almost surely, 2^{41201413411032} is an apocalyptic number.

41201413411032 is a gapful number since it is divisible by the number (42) 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 41201413411032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65294175098880).

41201413411032 is an abundant number, since it is smaller than the sum of its proper divisors (89386936786728).

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

41201413411032 is a wasteful number, since it uses less digits than its factorization.

41201413411032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 41201413411032 its reverse (23011431410214), we get a palindrome (64212844821246).

The spelling of 41201413411032 in words is "forty-one trillion, two hundred one billion, four hundred thirteen million, four hundred eleven thousand, thirty-two".