41124616848 has 120 divisors (see below), whose sum is σ = 131924893568. Its totient is φ = 11714927616.

The previous prime is 41124616807. The next prime is 41124616889. The reversal of 41124616848 is 84861642114.

41124616848 is a `hidden beast` number, since 4 + 1 + 1 + 24 + 616 + 8 + 4 + 8 = 666.

41124616848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41124616807) and next prime (41124616889).

It is a super-2 number, since 2×41124616848² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279165 + ... + 400227.

Almost surely, 2^41124616848 is an apocalyptic number.

41124616848 is a gapful number since it is divisible by the number (48) 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 41124616848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65962446784).

41124616848 is an abundant number, since it is smaller than the sum of its proper divisors (90800276720).

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

41124616848 is a wasteful number, since it uses less digits than its factorization.

41124616848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121421 (or 121412 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 41124616848 in words is "forty-one billion, one hundred twenty-four million, six hundred sixteen thousand, eight hundred forty-eight".