41338073440 has 96 divisors (see below), whose sum is σ = 101291904000. Its totient is φ = 15925593600.

The previous prime is 41338073363. The next prime is 41338073453. The reversal of 41338073440 is 4437083314.

It is a self number, because there is not a number n which added to its sum of digits gives 41338073440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026811 + ... + 1066309.

It is an arithmetic number, because the mean of its divisors is an integer number (1055124000).

Almost surely, 2^41338073440 is an apocalyptic number.

41338073440 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 41338073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50645952000).

41338073440 is an abundant number, since it is smaller than the sum of its proper divisors (59953830560).

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

41338073440 is a wasteful number, since it uses less digits than its factorization.

41338073440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39756 (or 39748 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 41338073440 in words is "forty-one billion, three hundred thirty-eight million, seventy-three thousand, four hundred forty".