41761208160 has 288 divisors, whose sum is σ = 163595158272. Its totient is φ = 9502848000.

The previous prime is 41761208117. The next prime is 41761208161. The reversal of 41761208160 is 6180216714.

It is a happy number.

41761208160 is a `hidden beast` number, since 417 + 61 + 20 + 8 + 160 = 666.

41761208160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41761208161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2279035 + ... + 2297285.

It is an arithmetic number, because the mean of its divisors is an integer number (568038744).

Almost surely, 2^41761208160 is an apocalyptic number.

41761208160 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 41761208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81797579136).

41761208160 is an abundant number, since it is smaller than the sum of its proper divisors (121833950112).

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

41761208160 is a wasteful number, since it uses less digits than its factorization.

41761208160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18506 (or 18495 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 41761208160 in words is "forty-one billion, seven hundred sixty-one million, two hundred eight thousand, one hundred sixty".