41400565761564 has 288 divisors, whose sum is σ = 111928853836800. Its totient is φ = 12877792542720.

The previous prime is 41400565761559. The next prime is 41400565761587. The reversal of 41400565761564 is 46516756500414.

41400565761564 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 0 + 5 + 6 + 5 + 76 + 1 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41400565761564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5673638364 + ... + 5673645660.

It is an arithmetic number, because the mean of its divisors is an integer number (388641853600).

Almost surely, 2^{41400565761564} 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 41400565761564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55964426918400).

41400565761564 is an abundant number, since it is smaller than the sum of its proper divisors (70528288075236).

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

41400565761564 is a wasteful number, since it uses less digits than its factorization.

41400565761564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8333 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 41400565761564 in words is "forty-one trillion, four hundred billion, five hundred sixty-five million, seven hundred sixty-one thousand, five hundred sixty-four".