41665624000 has 896 divisors, whose sum is σ = 142935496704. Its totient is φ = 11708928000.

The previous prime is 41665623983. The next prime is 41665624051. The reversal of 41665624000 is 42656614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 968967979 + ... + 968968021.

It is an arithmetic number, because the mean of its divisors is an integer number (159526224).

Almost surely, 2^41665624000 is an apocalyptic number.

41665624000 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 41665624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71467748352).

41665624000 is an abundant number, since it is smaller than the sum of its proper divisors (101269872704).

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

41665624000 is a wasteful number, since it uses less digits than its factorization.

41665624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 41665624000 in words is "forty-one billion, six hundred sixty-five million, six hundred twenty-four thousand".