41268482221824 has 2160 divisors, whose sum is σ = 154217150976000. Its totient is φ = 10849961041920.

The previous prime is 41268482221789. The next prime is 41268482221831. The reversal of 41268482221824 is 42812228486214.

41268482221824 is a `hidden beast` number, since 4 + 1 + 2 + 68 + 482 + 2 + 21 + 82 + 4 = 666.

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

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 324948678849 + ... + 324948678975.

Almost surely, 2^{41268482221824} is an apocalyptic number.

41268482221824 is a gapful number since it is divisible by the number (44) 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 41268482221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77108575488000).

41268482221824 is an abundant number, since it is smaller than the sum of its proper divisors (112948668754176).

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

41268482221824 is a wasteful number, since it uses less digits than its factorization.

41268482221824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 175 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 54.

The spelling of 41268482221824 in words is "forty-one trillion, two hundred sixty-eight billion, four hundred eighty-two million, two hundred twenty-one thousand, eight hundred twenty-four".