41680364320 has 144 divisors (see below), whose sum is σ = 115423818048. Its totient is φ = 14180974080.

The previous prime is 41680364317. The next prime is 41680364359. The reversal of 41680364320 is 2346308614.

It is a self number, because there is not a number n which added to its sum of digits gives 41680364320.

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 23 ways as a sum of consecutive naturals, for example, 1006749 + ... + 1047331.

It is an arithmetic number, because the mean of its divisors is an integer number (801554292).

Almost surely, 2^41680364320 is an apocalyptic number.

41680364320 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 41680364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57711909024).

41680364320 is an abundant number, since it is smaller than the sum of its proper divisors (73743453728).

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

41680364320 is a wasteful number, since it uses less digits than its factorization.

41680364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40743 (or 40728 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 41680364320 in words is "forty-one billion, six hundred eighty million, three hundred sixty-four thousand, three hundred twenty".