41926921344 has 288 divisors, whose sum is σ = 153107969040. Its totient is φ = 10889948160.

The previous prime is 41926921321. The next prime is 41926921357. The reversal of 41926921344 is 44312962914.

41926921344 is a `hidden beast` number, since 41 + 9 + 269 + 2 + 1 + 344 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 41926921344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 587167 + ... + 654689.

Almost surely, 2^41926921344 is an apocalyptic number.

41926921344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41926921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76553984520).

41926921344 is an abundant number, since it is smaller than the sum of its proper divisors (111181047696).

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

41926921344 is a wasteful number, since it uses less digits than its factorization.

41926921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67568 (or 67546 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 41926921344 in words is "forty-one billion, nine hundred twenty-six million, nine hundred twenty-one thousand, three hundred forty-four".