41094466560 has 352 divisors, whose sum is σ = 166909432320. Its totient is φ = 9392799744.

The previous prime is 41094466499. The next prime is 41094466601. The reversal of 41094466560 is 6566449014.

It is a happy number.

41094466560 is a `hidden beast` number, since 41 + 0 + 9 + 4 + 46 + 6 + 560 = 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 31 ways as a sum of consecutive naturals, for example, 946447 + ... + 988913.

Almost surely, 2^41094466560 is an apocalyptic number.

41094466560 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 41094466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83454716160).

41094466560 is an abundant number, since it is smaller than the sum of its proper divisors (125814965760).

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

41094466560 is a wasteful number, since it uses less digits than its factorization.

41094466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42508 (or 42484 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 41094466560 in words is "forty-one billion, ninety-four million, four hundred sixty-six thousand, five hundred sixty".