41004322672320 has 1344 divisors, whose sum is σ = 166181154048000. Its totient is φ = 9275770183680.

The previous prime is 41004322672303. The next prime is 41004322672331. The reversal of 41004322672320 is 2327622340014.

41004322672320 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 4 + 322 + 6 + 7 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 64983078405 + ... + 64983079035.

It is an arithmetic number, because the mean of its divisors is an integer number (123646692000).

Almost surely, 2^{41004322672320} is an apocalyptic number.

41004322672320 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 41004322672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83090577024000).

41004322672320 is an abundant number, since it is smaller than the sum of its proper divisors (125176831375680).

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

41004322672320 is a wasteful number, since it uses less digits than its factorization.

41004322672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 41004322672320 in words is "forty-one trillion, four billion, three hundred twenty-two million, six hundred seventy-two thousand, three hundred twenty".