41873944896 has 896 divisors, whose sum is σ = 154497024000. Its totient is φ = 11095418880.

The previous prime is 41873944891. The next prime is 41873944897. The reversal of 41873944896 is 69844937814.

41873944896 is a `hidden beast` number, since 4 + 187 + 3 + 9 + 448 + 9 + 6 = 666.

41873944896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41873944896² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41873944891) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 790074406 + ... + 790074458.

Almost surely, 2^41873944896 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 41873944896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77248512000).

41873944896 is an abundant number, since it is smaller than the sum of its proper divisors (112623079104).

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

41873944896 is a wasteful number, since it uses less digits than its factorization.

41873944896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 139 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 41873944896 in words is "forty-one billion, eight hundred seventy-three million, nine hundred forty-four thousand, eight hundred ninety-six".