41289149568 has 256 divisors, whose sum is σ = 123774013440. Its totient is φ = 12124569600.

The previous prime is 41289149563. The next prime is 41289149569. The reversal of 41289149568 is 86594198214.

It is not an unprimeable number, because it can be changed into a prime (41289149563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7053843 + ... + 7059693.

It is an arithmetic number, because the mean of its divisors is an integer number (483492240).

Almost surely, 2^41289149568 is an apocalyptic number.

41289149568 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 41289149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61887006720).

41289149568 is an abundant number, since it is smaller than the sum of its proper divisors (82484863872).

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

41289149568 is a wasteful number, since it uses less digits than its factorization.

41289149568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5943 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The spelling of 41289149568 in words is "forty-one billion, two hundred eighty-nine million, one hundred forty-nine thousand, five hundred sixty-eight".