41073089904 has 1200 divisors, whose sum is σ = 165517406208. Its totient is φ = 9580032000.

The previous prime is 41073089899. The next prime is 41073089909. The reversal of 41073089904 is 40998037014.

41073089904 is a `hidden beast` number, since 410 + 73 + 0 + 89 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41073089899) and next prime (41073089909).

It is a self number, because there is not a number n which added to its sum of digits gives 41073089904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41073089909) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 578494189 + ... + 578494259.

Almost surely, 2^41073089904 is an apocalyptic number.

41073089904 is a gapful number since it is divisible by the number (44) 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 41073089904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82758703104).

41073089904 is an abundant number, since it is smaller than the sum of its proper divisors (124444316304).

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

41073089904 is a wasteful number, since it uses less digits than its factorization.

41073089904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 41073089904 in words is "forty-one billion, seventy-three million, eighty-nine thousand, nine hundred four".