41169506204160 has 640 divisors, whose sum is σ = 146840271621120. Its totient is φ = 10933390540800.

The previous prime is 41169506204119. The next prime is 41169506204179. The reversal of 41169506204160 is 6140260596114.

41169506204160 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 9 + 5 + 0 + 620 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 26509661944 + ... + 26509663496.

It is an arithmetic number, because the mean of its divisors is an integer number (229437924408).

Almost surely, 2^{41169506204160} is an apocalyptic number.

41169506204160 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 41169506204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73420135810560).

41169506204160 is an abundant number, since it is smaller than the sum of its proper divisors (105670765416960).

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

41169506204160 is a wasteful number, since it uses less digits than its factorization.

41169506204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 41169506204160 in words is "forty-one trillion, one hundred sixty-nine billion, five hundred six million, two hundred four thousand, one hundred sixty".