41166225456 has 80 divisors (see below), whose sum is σ = 109266530304. Its totient is φ = 13345558272.

The previous prime is 41166225413. The next prime is 41166225487. The reversal of 41166225456 is 65452266114.

It is a super-3 number, since 3×41166225456³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7042471 + ... + 7048313.

Almost surely, 2^41166225456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41166225456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54633265152).

41166225456 is an abundant number, since it is smaller than the sum of its proper divisors (68100304848).

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

41166225456 is a wasteful number, since it uses less digits than its factorization.

41166225456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9858 (or 9852 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 41166225456 in words is "forty-one billion, one hundred sixty-six million, two hundred twenty-five thousand, four hundred fifty-six".