41159428128 has 720 divisors, whose sum is σ = 154991079936. Its totient is φ = 10480803840.

The previous prime is 41159428069. The next prime is 41159428147. The reversal of 41159428128 is 82182495114.

41159428128 is a `hidden beast` number, since 4 + 11 + 594 + 28 + 1 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95056200 + ... + 95056632.

Almost surely, 2^41159428128 is an apocalyptic number.

41159428128 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 41159428128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495539968).

41159428128 is an abundant number, since it is smaller than the sum of its proper divisors (113831651808).

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

41159428128 is a wasteful number, since it uses less digits than its factorization.

41159428128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 489 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 41159428128 in words is "forty-one billion, one hundred fifty-nine million, four hundred twenty-eight thousand, one hundred twenty-eight".