41278242816 has 220 divisors, whose sum is σ = 123832601772. Its totient is φ = 13759414272.

The previous prime is 41278242787. The next prime is 41278242839. The reversal of 41278242816 is 61824287214.

The cubic root of 41278242816 is 3456.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)⁶ ⋅ (3!)³.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13759414271 + 13759414272 + 13759414273.

Almost surely, 2^41278242816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41278242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916300886).

41278242816 is an abundant number, since it is smaller than the sum of its proper divisors (82554358956).

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

41278242816 is an frugal number, since it uses more digits than its factorization.

41278242816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 5 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 41278242816 in words is "forty-one billion, two hundred seventy-eight million, two hundred forty-two thousand, eight hundred sixteen".