41649120019872 has 120 divisors (see below), whose sum is σ = 122514842765700. Its totient is φ = 13880100197376.

The previous prime is 41649120019867. The next prime is 41649120019891. The reversal of 41649120019872 is 27891002194614.

41649120019872 is a `hidden beast` number, since 4 + 164 + 91 + 200 + 198 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40053253767696 + 1595866252176 = 6328764^2 + 1263276^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10558654 + ... + 13956482.

Almost surely, 2^{41649120019872} 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 41649120019872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61257421382850).

41649120019872 is an abundant number, since it is smaller than the sum of its proper divisors (80865722745828).

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

41649120019872 is a wasteful number, since it uses less digits than its factorization.

41649120019872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402580 (or 3402563 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 41649120019872 in words is "forty-one trillion, six hundred forty-nine billion, one hundred twenty million, nineteen thousand, eight hundred seventy-two".