41164580350080 has 2560 divisors, whose sum is σ = 169024815590400. Its totient is φ = 9459597312000.

The previous prime is 41164580350073. The next prime is 41164580350109. The reversal of 41164580350080 is 8005308546114.

41164580350080 is a `hidden beast` number, since 4 + 1 + 1 + 64 + 5 + 8 + 0 + 3 + 500 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 151898820345 + ... + 151898820615.

It is an arithmetic number, because the mean of its divisors is an integer number (66025318590).

Almost surely, 2^{41164580350080} is an apocalyptic number.

41164580350080 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 41164580350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84512407795200).

41164580350080 is an abundant number, since it is smaller than the sum of its proper divisors (127860235240320).

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

41164580350080 is a wasteful number, since it uses less digits than its factorization.

41164580350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

Adding to 41164580350080 its reverse (8005308546114), we get a palindrome (49169888896194).

The spelling of 41164580350080 in words is "forty-one trillion, one hundred sixty-four billion, five hundred eighty million, three hundred fifty thousand, eighty".