41116118400 has 1920 divisors, whose sum is σ = 193933301760. Its totient is φ = 8360755200.

The previous prime is 41116118399. The next prime is 41116118447. The reversal of 41116118400 is 481161114.

41116118400 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 611 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 956188779 + ... + 956188821.

It is an arithmetic number, because the mean of its divisors is an integer number (101006928).

Almost surely, 2^41116118400 is an apocalyptic number.

41116118400 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 41116118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96966650880).

41116118400 is an abundant number, since it is smaller than the sum of its proper divisors (152817183360).

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

41116118400 is a wasteful number, since it uses less digits than its factorization.

41116118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 41116118400 its reverse (481161114), we get a palindrome (41597279514).

The spelling of 41116118400 in words is "forty-one billion, one hundred sixteen million, one hundred eighteen thousand, four hundred".