41854999680 has 1152 divisors, whose sum is σ = 172384243200. Its totient is φ = 9316270080.

The previous prime is 41854999633. The next prime is 41854999687. The reversal of 41854999680 is 8699945814.

41854999680 is a `hidden beast` number, since 4 + 1 + 8 + 549 + 9 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (41854999687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 573356124 + ... + 573356196.

It is an arithmetic number, because the mean of its divisors is an integer number (149639100).

Almost surely, 2^41854999680 is an apocalyptic number.

41854999680 is a gapful number since it is divisible by the number (40) 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 41854999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86192121600).

41854999680 is an abundant number, since it is smaller than the sum of its proper divisors (130529243520).

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

41854999680 is a wasteful number, since it uses less digits than its factorization.

41854999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 41854999680 in words is "forty-one billion, eight hundred fifty-four million, nine hundred ninety-nine thousand, six hundred eighty".