4081426536096 has 864 divisors, whose sum is σ = 15422520793680. Its totient is φ = 1011316948992.

The previous prime is 4081426536071. The next prime is 4081426536101. The reversal of 4081426536096 is 6906356241804.

4081426536096 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 4 + 26 + 5 + 3 + 609 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2903411523600 + 1178015012496 = 1703940^2 + 1085364^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3146820120 + ... + 3146821416.

Almost surely, 2^{4081426536096} 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 4081426536096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711260396840).

4081426536096 is an abundant number, since it is smaller than the sum of its proper divisors (11341094257584).

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

4081426536096 is a wasteful number, since it uses less digits than its factorization.

4081426536096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4081426536096 in words is "four trillion, eighty-one billion, four hundred twenty-six million, five hundred thirty-six thousand, ninety-six".