41661556000 has 192 divisors, whose sum is σ = 109708784640. Its totient is φ = 15507993600.

The previous prime is 41661555997. The next prime is 41661556003. The reversal of 41661556000 is 65516614.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41661555997) and next prime (41661556003).

It is a super-2 number, since 2×41661556000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41661556003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3397881 + ... + 3410119.

It is an arithmetic number, because the mean of its divisors is an integer number (571399920).

Almost surely, 2^41661556000 is an apocalyptic number.

41661556000 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 41661556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54854392320).

41661556000 is an abundant number, since it is smaller than the sum of its proper divisors (68047228640).

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

41661556000 is a wasteful number, since it uses less digits than its factorization.

41661556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12324 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 41661556000 in words is "forty-one billion, six hundred sixty-one million, five hundred fifty-six thousand".