41604864000 has 768 divisors, whose sum is σ = 161902540800. Its totient is φ = 9289728000.

The previous prime is 41604863999. The next prime is 41604864001. The reversal of 41604864000 is 46840614.

41604864000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41604863999) and next prime (41604864001).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41604864001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381695946 + ... + 381696054.

It is an arithmetic number, because the mean of its divisors is an integer number (210810600).

Almost surely, 2^41604864000 is an apocalyptic number.

41604864000 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 41604864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80951270400).

41604864000 is an abundant number, since it is smaller than the sum of its proper divisors (120297676800).

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

41604864000 is a wasteful number, since it uses less digits than its factorization.

41604864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 41604864000 in words is "forty-one billion, six hundred four million, eight hundred sixty-four thousand".