42541826976 has 288 divisors, whose sum is σ = 136503372096. Its totient is φ = 12455424000.

The previous prime is 42541826923. The next prime is 42541827043. The reversal of 42541826976 is 67962814524.

42541826976 is a `hidden beast` number, since 4 + 2 + 541 + 8 + 2 + 6 + 97 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13896486 + ... + 13899546.

It is an arithmetic number, because the mean of its divisors is an integer number (473970042).

Almost surely, 2^42541826976 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 42541826976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68251686048).

42541826976 is an abundant number, since it is smaller than the sum of its proper divisors (93961545120).

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

42541826976 is a wasteful number, since it uses less digits than its factorization.

42541826976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3225 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 42541826976 in words is "forty-two billion, five hundred forty-one million, eight hundred twenty-six thousand, nine hundred seventy-six".