41826072672 has 288 divisors, whose sum is σ = 130965569280. Its totient is φ = 12603064320.

The previous prime is 41826072667. The next prime is 41826072679. The reversal of 41826072672 is 27627062814.

It is a happy number.

41826072672 is a `hidden beast` number, since 4 + 18 + 2 + 607 + 26 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41826072679) 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, 31661772 + ... + 31663092.

It is an arithmetic number, because the mean of its divisors is an integer number (454741560).

Almost surely, 2^41826072672 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 41826072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65482784640).

41826072672 is an abundant number, since it is smaller than the sum of its proper divisors (89139496608).

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

41826072672 is a wasteful number, since it uses less digits than its factorization.

41826072672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 41826072672 in words is "forty-one billion, eight hundred twenty-six million, seventy-two thousand, six hundred seventy-two".