41171790240 has 384 divisors, whose sum is σ = 165032017920. Its totient is φ = 9391002624.

The previous prime is 41171790211. The next prime is 41171790263. The reversal of 41171790240 is 4209717114.

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

It is a junction number, because it is equal to n+sod(n) for n = 41171790195 and 41171790204.

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, 18354559 + ... + 18356801.

It is an arithmetic number, because the mean of its divisors is an integer number (429770880).

Almost surely, 2^41171790240 is an apocalyptic number.

41171790240 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 41171790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82516008960).

41171790240 is an abundant number, since it is smaller than the sum of its proper divisors (123860227680).

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

41171790240 is a wasteful number, since it uses less digits than its factorization.

41171790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 41171790240 in words is "forty-one billion, one hundred seventy-one million, seven hundred ninety thousand, two hundred forty".