41783420160 has 288 divisors, whose sum is σ = 148869262080. Its totient is φ = 11097464832.

The previous prime is 41783420113. The next prime is 41783420249. The reversal of 41783420160 is 6102438714.

41783420160 is a `hidden beast` number, since 4 + 1 + 78 + 3 + 420 + 160 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9086982 + ... + 9091578.

It is an arithmetic number, because the mean of its divisors is an integer number (516907160).

Almost surely, 2^41783420160 is an apocalyptic number.

41783420160 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 41783420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74434631040).

41783420160 is an abundant number, since it is smaller than the sum of its proper divisors (107085841920).

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

41783420160 is a wasteful number, since it uses less digits than its factorization.

41783420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 41783420160 its reverse (6102438714), we get a palindrome (47885858874).

The spelling of 41783420160 in words is "forty-one billion, seven hundred eighty-three million, four hundred twenty thousand, one hundred sixty".