41268538368 has 308 divisors, whose sum is σ = 125919239880. Its totient is φ = 13508591616.

The previous prime is 41268538321. The next prime is 41268538379. The reversal of 41268538368 is 86383586214.

41268538368 is a `hidden beast` number, since 4 + 12 + 68 + 538 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 27 ways as a sum of consecutive naturals, for example, 44042796 + ... + 44043732.

Almost surely, 2^41268538368 is an apocalyptic number.

41268538368 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 41268538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62959619940).

41268538368 is an abundant number, since it is smaller than the sum of its proper divisors (84650701512).

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

41268538368 is an frugal number, since it uses more digits than its factorization.

41268538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1001 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 41268538368 in words is "forty-one billion, two hundred sixty-eight million, five hundred thirty-eight thousand, three hundred sixty-eight".