41925905856 has 672 divisors, whose sum is σ = 142012416000. Its totient is φ = 12194012160.

The previous prime is 41925905843. The next prime is 41925905899. The reversal of 41925905856 is 65850952914.

41925905856 is a `hidden beast` number, since 4 + 1 + 9 + 2 + 59 + 0 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 210682845 + ... + 210683043.

It is an arithmetic number, because the mean of its divisors is an integer number (211328000).

Almost surely, 2^41925905856 is an apocalyptic number.

41925905856 is a gapful number since it is divisible by the number (46) 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 41925905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71006208000).

41925905856 is an abundant number, since it is smaller than the sum of its proper divisors (100086510144).

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

41925905856 is a wasteful number, since it uses less digits than its factorization.

41925905856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 41925905856 in words is "forty-one billion, nine hundred twenty-five million, nine hundred five thousand, eight hundred fifty-six".