41661634560 has 576 divisors, whose sum is σ = 167050447200. Its totient is φ = 8786018304.

The previous prime is 41661634543. The next prime is 41661634561. The reversal of 41661634560 is 6543616614.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41661634561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19567576 + ... + 19569704.

Almost surely, 2^41661634560 is an apocalyptic number.

41661634560 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 41661634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83525223600).

41661634560 is an abundant number, since it is smaller than the sum of its proper divisors (125388812640).

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

41661634560 is a wasteful number, since it uses less digits than its factorization.

41661634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 41661634560 in words is "forty-one billion, six hundred sixty-one million, six hundred thirty-four thousand, five hundred sixty".