41426382816 has 864 divisors, whose sum is σ = 160933106880. Its totient is φ = 9977167872.

The previous prime is 41426382797. The next prime is 41426382911. The reversal of 41426382816 is 61828362414.

41426382816 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 638 + 2 + 8 + 1 + 6 = 666.

41426382816 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 2×41426382816² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115393645 + ... + 115394003.

It is an arithmetic number, because the mean of its divisors is an integer number (186265170).

Almost surely, 2^41426382816 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 41426382816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80466553440).

41426382816 is an abundant number, since it is smaller than the sum of its proper divisors (119506724064).

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

41426382816 is a wasteful number, since it uses less digits than its factorization.

41426382816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 41426382816 in words is "forty-one billion, four hundred twenty-six million, three hundred eighty-two thousand, eight hundred sixteen".