41785450560 has 2240 divisors, whose sum is σ = 203936071680. Its totient is φ = 7882997760.

The previous prime is 41785450559. The next prime is 41785450561. The reversal of 41785450560 is 6505458714.

41785450560 is a `hidden beast` number, since 4 + 1 + 7 + 85 + 4 + 5 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (41785450559) and next prime (41785450561).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41785450561) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1347917745 + ... + 1347917775.

Almost surely, 2^41785450560 is an apocalyptic number.

41785450560 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 41785450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101968035840).

41785450560 is an abundant number, since it is smaller than the sum of its proper divisors (162150621120).

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

41785450560 is a wasteful number, since it uses less digits than its factorization.

41785450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 41785450560 in words is "forty-one billion, seven hundred eighty-five million, four hundred fifty thousand, five hundred sixty".