41193802368 has 256 divisors, whose sum is σ = 123746400000. Its totient is φ = 13488685056.

The previous prime is 41193802343. The next prime is 41193802379. The reversal of 41193802368 is 86320839114.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61208880 + ... + 61209552.

It is an arithmetic number, because the mean of its divisors is an integer number (483384375).

Almost surely, 2^41193802368 is an apocalyptic number.

41193802368 is a gapful number since it is divisible by the number (48) 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 41193802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61873200000).

41193802368 is an abundant number, since it is smaller than the sum of its proper divisors (82552597632).

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

41193802368 is a wasteful number, since it uses less digits than its factorization.

41193802368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 41193802368 in words is "forty-one billion, one hundred ninety-three million, eight hundred two thousand, three hundred sixty-eight".