41935627728 has 120 divisors (see below), whose sum is σ = 120995791488. Its totient is φ = 13548577536.

The previous prime is 41935627717. The next prime is 41935627733. The reversal of 41935627728 is 82772653914.

It is a happy number.

41935627728 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 5 + 627 + 7 + 2 + 8 = 666.

41935627728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1386301 + ... + 1416227.

Almost surely, 2^41935627728 is an apocalyptic number.

41935627728 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 41935627728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60497895744).

41935627728 is an abundant number, since it is smaller than the sum of its proper divisors (79060163760).

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

41935627728 is a wasteful number, since it uses less digits than its factorization.

41935627728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30241 (or 30232 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 41935627728 in words is "forty-one billion, nine hundred thirty-five million, six hundred twenty-seven thousand, seven hundred twenty-eight".