41825664000 has 264 divisors, whose sum is σ = 150725981328. Its totient is φ = 11153203200.

The previous prime is 41825663983. The next prime is 41825664007. The reversal of 41825664000 is 46652814.

41825664000 is a `hidden beast` number, since 4 + 1 + 8 + 2 + 5 + 6 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41825664007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1133847 + ... + 1170153.

Almost surely, 2^41825664000 is an apocalyptic number.

41825664000 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 41825664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75362990664).

41825664000 is an abundant number, since it is smaller than the sum of its proper divisors (108900317328).

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

41825664000 is a wasteful number, since it uses less digits than its factorization.

41825664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36348 (or 36317 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 41825664000 in words is "forty-one billion, eight hundred twenty-five million, six hundred sixty-four thousand".