41231835648 has 480 divisors, whose sum is σ = 129496086720. Its totient is φ = 13085245440.

The previous prime is 41231835643. The next prime is 41231835677. The reversal of 41231835648 is 84653813214.

41231835648 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 1 + 83 + 564 + 8 = 666.

Its product of digits (552960) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (41231835641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300962236 + ... + 300962372.

It is an arithmetic number, because the mean of its divisors is an integer number (269783514).

Almost surely, 2^41231835648 is an apocalyptic number.

41231835648 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 41231835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64748043360).

41231835648 is an abundant number, since it is smaller than the sum of its proper divisors (88264251072).

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

41231835648 is an equidigital number, since it uses as much as digits as its factorization.

41231835648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 242 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 41231835648 in words is "forty-one billion, two hundred thirty-one million, eight hundred thirty-five thousand, six hundred forty-eight".