41917900128 has 432 divisors, whose sum is σ = 128721746160. Its totient is φ = 11920097280.

The previous prime is 41917900121. The next prime is 41917900147. The reversal of 41917900128 is 82100971914.

It is a super-3 number, since 3×41917900128³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 41917900128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41917900121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 790903750 + ... + 790903802.

It is an arithmetic number, because the mean of its divisors is an integer number (297967005).

Almost surely, 2^41917900128 is an apocalyptic number.

41917900128 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 41917900128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64360873080).

41917900128 is an abundant number, since it is smaller than the sum of its proper divisors (86803846032).

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

41917900128 is a wasteful number, since it uses less digits than its factorization.

41917900128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 41917900128 in words is "forty-one billion, nine hundred seventeen million, nine hundred thousand, one hundred twenty-eight".