41386834368 has 252 divisors, whose sum is σ = 132268993272. Its totient is φ = 12270474240.

The previous prime is 41386834343. The next prime is 41386834387. The reversal of 41386834368 is 86343868314.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 13994746 + ... + 13997702.

Almost surely, 2^41386834368 is an apocalyptic number.

41386834368 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 41386834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66134496636).

41386834368 is an abundant number, since it is smaller than the sum of its proper divisors (90882158904).

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

41386834368 is a wasteful number, since it uses less digits than its factorization.

41386834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3020 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 41386834368 in words is "forty-one billion, three hundred eighty-six million, eight hundred thirty-four thousand, three hundred sixty-eight".