41362561201566 has 128 divisors (see below), whose sum is σ = 91730968128000. Its totient is φ = 12329639413760.

The previous prime is 41362561201561. The next prime is 41362561201573. The reversal of 41362561201566 is 66510216526314.

It is a happy number.

It is a super-2 number, since 2×41362561201566² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41362561201561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 988355410 + ... + 988397258.

It is an arithmetic number, because the mean of its divisors is an integer number (716648188500).

Almost surely, 2^{41362561201566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41362561201566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45865484064000).

41362561201566 is an abundant number, since it is smaller than the sum of its proper divisors (50368406926434).

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

41362561201566 is a wasteful number, since it uses less digits than its factorization.

41362561201566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42954.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 41362561201566 in words is "forty-one trillion, three hundred sixty-two billion, five hundred sixty-one million, two hundred one thousand, five hundred sixty-six".