41914960128 has 216 divisors, whose sum is σ = 126474216960. Its totient is φ = 13334077440.

The previous prime is 41914960117. The next prime is 41914960151. The reversal of 41914960128 is 82106941914.

It is a happy number.

41914960128 is a `hidden beast` number, since 4 + 1 + 9 + 14 + 9 + 601 + 28 = 666.

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, 5209933 + ... + 5217971.

Almost surely, 2^41914960128 is an apocalyptic number.

41914960128 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 41914960128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63237108480).

41914960128 is an abundant number, since it is smaller than the sum of its proper divisors (84559256832).

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

41914960128 is a wasteful number, since it uses less digits than its factorization.

41914960128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8165 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 41914960128 in words is "forty-one billion, nine hundred fourteen million, nine hundred sixty thousand, one hundred twenty-eight".