41785220736 has 256 divisors, whose sum is σ = 148361856000. Its totient is φ = 11310160896.

The previous prime is 41785220731. The next prime is 41785220809. The reversal of 41785220736 is 63702258714.

41785220736 is a `hidden beast` number, since 417 + 8 + 5 + 220 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41785220691 and 41785220700.

It is not an unprimeable number, because it can be changed into a prime (41785220731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414195 + ... + 505101.

It is an arithmetic number, because the mean of its divisors is an integer number (579538500).

Almost surely, 2^41785220736 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 41785220736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74180928000).

41785220736 is an abundant number, since it is smaller than the sum of its proper divisors (106576635264).

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

41785220736 is a wasteful number, since it uses less digits than its factorization.

41785220736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90956 (or 90938 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 41785220736 in words is "forty-one billion, seven hundred eighty-five million, two hundred twenty thousand, seven hundred thirty-six".