41100161356800 has 6336 divisors, whose sum is σ = 211467152736000. Its totient is φ = 7732026408960.

The previous prime is 41100161356799. The next prime is 41100161356811. The reversal of 41100161356800 is 865316100114.

It is a happy number.

41100161356800 is a `hidden beast` number, since 41 + 100 + 161 + 356 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2163166387191 + ... + 2163166387209.

Almost surely, 2^{41100161356800} is an apocalyptic number.

41100161356800 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 41100161356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105733576368000).

41100161356800 is an abundant number, since it is smaller than the sum of its proper divisors (170366991379200).

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

41100161356800 is a wasteful number, since it uses less digits than its factorization.

41100161356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 41100161356800 its reverse (865316100114), we get a palindrome (41965477456914).

The spelling of 41100161356800 in words is "forty-one trillion, one hundred billion, one hundred sixty-one million, three hundred fifty-six thousand, eight hundred".