41094870960 has 640 divisors, whose sum is σ = 158389862400. Its totient is φ = 8671703040.

The previous prime is 41094870959. The next prime is 41094870977. The reversal of 41094870960 is 6907849014.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62359111 + ... + 62359769.

It is an arithmetic number, because the mean of its divisors is an integer number (247484160).

Almost surely, 2^41094870960 is an apocalyptic number.

41094870960 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 41094870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79194931200).

41094870960 is an abundant number, since it is smaller than the sum of its proper divisors (117294991440).

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

41094870960 is a wasteful number, since it uses less digits than its factorization.

41094870960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 41094870960 in words is "forty-one billion, ninety-four million, eight hundred seventy thousand, nine hundred sixty".