41126248800 has 1440 divisors, whose sum is σ = 189930656160. Its totient is φ = 8534937600.

The previous prime is 41126248781. The next prime is 41126248817. The reversal of 41126248800 is 884262114.

41126248800 is a `hidden beast` number, since 4 + 112 + 62 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 674200770 + ... + 674200830.

It is an arithmetic number, because the mean of its divisors is an integer number (131896289).

Almost surely, 2^41126248800 is an apocalyptic number.

41126248800 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 41126248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94965328080).

41126248800 is an abundant number, since it is smaller than the sum of its proper divisors (148804407360).

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

41126248800 is a wasteful number, since it uses less digits than its factorization.

41126248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 41126248800 in words is "forty-one billion, one hundred twenty-six million, two hundred forty-eight thousand, eight hundred".