41482814672 has 160 divisors (see below), whose sum is σ = 90874183680. Its totient is φ = 18215124480.

The previous prime is 41482814657. The next prime is 41482814687. The reversal of 41482814672 is 27641828414.

It is an interprime number because it is at equal distance from previous prime (41482814657) and next prime (41482814687).

It is a super-2 number, since 2×41482814672² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146582243 + ... + 146582525.

It is an arithmetic number, because the mean of its divisors is an integer number (567963648).

Almost surely, 2^41482814672 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 41482814672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45437091840).

41482814672 is an abundant number, since it is smaller than the sum of its proper divisors (49391369008).

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

41482814672 is a wasteful number, since it uses less digits than its factorization.

41482814672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its digits is 688128, while the sum is 47.

The spelling of 41482814672 in words is "forty-one billion, four hundred eighty-two million, eight hundred fourteen thousand, six hundred seventy-two".