41950075680 has 288 divisors, whose sum is σ = 150993460800. Its totient is φ = 10576521216.

The previous prime is 41950075669. The next prime is 41950075681. The reversal of 41950075680 is 8657005914.

41950075680 is a `hidden beast` number, since 4 + 19 + 500 + 7 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41950075681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16934602 + ... + 16937078.

It is an arithmetic number, because the mean of its divisors is an integer number (524282850).

Almost surely, 2^41950075680 is an apocalyptic number.

41950075680 is a gapful number since it is divisible by the number (40) 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 41950075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75496730400).

41950075680 is an abundant number, since it is smaller than the sum of its proper divisors (109043385120).

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

41950075680 is a wasteful number, since it uses less digits than its factorization.

41950075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 41950075680 in words is "forty-one billion, nine hundred fifty million, seventy-five thousand, six hundred eighty".