41566220520400 has 60 divisors (see below), whose sum is σ = 99863819829900. Its totient is φ = 16626325872640.

The previous prime is 41566220520323. The next prime is 41566220520431. The reversal of 41566220520400 is 402502266514.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 340112908864 + 41226107611536 = 583192^2 + 6420756^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41566220520400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45786096 + ... + 46685104.

It is an arithmetic number, because the mean of its divisors is an integer number (1664396997165).

Almost surely, 2^{41566220520400} is an apocalyptic number.

41566220520400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41566220520400 is an abundant number, since it is smaller than the sum of its proper divisors (58297599309500).

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

41566220520400 is a wasteful number, since it uses less digits than its factorization.

41566220520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014616 (or 1014605 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 41566220520400 its reverse (402502266514), we get a palindrome (41968722786914).

The spelling of 41566220520400 in words is "forty-one trillion, five hundred sixty-six billion, two hundred twenty million, five hundred twenty thousand, four hundred".