41642984484864 has 624 divisors, whose sum is σ = 140872408934400. Its totient is φ = 11604430946304.

The previous prime is 41642984484839. The next prime is 41642984484919. The reversal of 41642984484864 is 46848448924614.

It is a happy number.

41642984484864 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 2 + 9 + 84 + 484 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 41642984484792 and 41642984484801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8976713457 + ... + 8976718095.

It is an arithmetic number, because the mean of its divisors is an integer number (225757065600).

Almost surely, 2^{41642984484864} 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 41642984484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70436204467200).

41642984484864 is an abundant number, since it is smaller than the sum of its proper divisors (99229424449536).

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

41642984484864 is a wasteful number, since it uses less digits than its factorization.

41642984484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5503 counting only the distinct ones).

The product of its digits is 1358954496, while the sum is 72.

The spelling of 41642984484864 in words is "forty-one trillion, six hundred forty-two billion, nine hundred eighty-four million, four hundred eighty-four thousand, eight hundred sixty-four".