41020759638 has 64 divisors (see below), whose sum is σ = 93611980800. Its totient is φ = 13310256960.

The previous prime is 41020759621. The next prime is 41020759649. The reversal of 41020759638 is 83695702014.

41020759638 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 0 + 7 + 5 + 9 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41020759593 and 41020759602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235170 + ... + 370602.

It is an arithmetic number, because the mean of its divisors is an integer number (1462687200).

It is a 1-persistent number, because it is pandigital, but 2⋅41020759638 = 82041519276 is not.

Almost surely, 2^41020759638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41020759638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46805990400).

41020759638 is an abundant number, since it is smaller than the sum of its proper divisors (52591221162).

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

41020759638 is a wasteful number, since it uses less digits than its factorization.

41020759638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135594 (or 135588 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 41020759638 in words is "forty-one billion, twenty million, seven hundred fifty-nine thousand, six hundred thirty-eight".