1041563565504 has 672 divisors, whose sum is σ = 3939220569600. Its totient is φ = 266812600320.

The previous prime is 1041563565503. The next prime is 1041563565529. The reversal of 1041563565504 is 4055653651401.

1041563565504 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 635 + 6 + 5 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 1041563565504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041563565503) by changing a digit.

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, 67983957 + ... + 67999275.

Almost surely, 2^{1041563565504} is an apocalyptic number.

1041563565504 is a gapful number since it is divisible by the number (14) 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 1041563565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969610284800).

1041563565504 is an abundant number, since it is smaller than the sum of its proper divisors (2897657004096).

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

1041563565504 is a wasteful number, since it uses less digits than its factorization.

1041563565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15438 (or 15415 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 1041563565504 in words is "one trillion, forty-one billion, five hundred sixty-three million, five hundred sixty-five thousand, five hundred four".