41616218160 has 240 divisors, whose sum is σ = 152741036448. Its totient is φ = 10070630400.

The previous prime is 41616218129. The next prime is 41616218201. The reversal of 41616218160 is 6181261614.

41616218160 is a `hidden beast` number, since 4 + 1 + 616 + 21 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41616218160² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4692130 + ... + 4700990.

Almost surely, 2^41616218160 is an apocalyptic number.

41616218160 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 41616218160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76370518224).

41616218160 is an abundant number, since it is smaller than the sum of its proper divisors (111124818288).

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

41616218160 is a wasteful number, since it uses less digits than its factorization.

41616218160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9484 (or 9475 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 41616218160 its reverse (6181261614), we get a palindrome (47797479774).

The spelling of 41616218160 in words is "forty-one billion, six hundred sixteen million, two hundred eighteen thousand, one hundred sixty".