41098833388800 has 1296 divisors, whose sum is σ = 166467077300160. Its totient is φ = 9949298688000.

The previous prime is 41098833388759. The next prime is 41098833388801. The reversal of 41098833388800 is 888333889014.

41098833388800 is a `hidden beast` number, since 4 + 10 + 98 + 83 + 3 + 388 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×41098833388800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41098833388801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17261163610 + ... + 17261165990.

Almost surely, 2^{41098833388800} is an apocalyptic number.

41098833388800 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 41098833388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83233538650080).

41098833388800 is an abundant number, since it is smaller than the sum of its proper divisors (125368243911360).

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

41098833388800 is a wasteful number, since it uses less digits than its factorization.

41098833388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 41098833388800 in words is "forty-one trillion, ninety-eight billion, eight hundred thirty-three million, three hundred eighty-eight thousand, eight hundred".