41930854416 has 640 divisors, whose sum is σ = 144539320320. Its totient is φ = 11496038400.

The previous prime is 41930854369. The next prime is 41930854451. The reversal of 41930854416 is 61445803914.

41930854416 is a `hidden beast` number, since 4 + 1 + 93 + 0 + 8 + 544 + 16 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 330164145 + ... + 330164271.

It is an arithmetic number, because the mean of its divisors is an integer number (225842688).

Almost surely, 2^41930854416 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 41930854416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72269660160).

41930854416 is an abundant number, since it is smaller than the sum of its proper divisors (102608465904).

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

41930854416 is a wasteful number, since it uses less digits than its factorization.

41930854416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 41930854416 in words is "forty-one billion, nine hundred thirty million, eight hundred fifty-four thousand, four hundred sixteen".