41616960000 has 800 divisors, whose sum is σ = 173036210688. Its totient is φ = 8632320000.

The previous prime is 41616959983. The next prime is 41616960001. The reversal of 41616960000 is 6961614.

It is a tau number, because it is divible by the number of its divisors (800).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (41616960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73919719 + ... + 73920281.

Almost surely, 2^41616960000 is an apocalyptic number.

41616960000 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 41616960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86518105344).

41616960000 is an abundant number, since it is smaller than the sum of its proper divisors (131419250688).

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

41616960000 is an equidigital number, since it uses as much as digits as its factorization.

41616960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 41616960000 in words is "forty-one billion, six hundred sixteen million, nine hundred sixty thousand".