41467827648 has 112 divisors (see below), whose sum is σ = 118332642176. Its totient is φ = 12740336640.

The previous prime is 41467827631. The next prime is 41467827689. The reversal of 41467827648 is 84672876414.

41467827648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1712715 + ... + 1736757.

It is an arithmetic number, because the mean of its divisors is an integer number (1056541448).

Almost surely, 2^41467827648 is an apocalyptic number.

41467827648 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 41467827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59166321088).

41467827648 is an abundant number, since it is smaller than the sum of its proper divisors (76864814528).

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

41467827648 is a wasteful number, since it uses less digits than its factorization.

41467827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24762 (or 24752 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 57.

The spelling of 41467827648 in words is "forty-one billion, four hundred sixty-seven million, eight hundred twenty-seven thousand, six hundred forty-eight".