4411045430505 has 192 divisors, whose sum is σ = 9436736424960. Its totient is φ = 1861438537728.

The previous prime is 4411045430501. The next prime is 4411045430509. The reversal of 4411045430505 is 5050345401144.

4411045430505 is a `hidden beast` number, since 4 + 4 + 1 + 104 + 5 + 43 + 0 + 505 = 666.

It is an interprime number because it is at equal distance from previous prime (4411045430501) and next prime (4411045430509).

It is not a de Polignac number, because 4411045430505 - 2² = 4411045430501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4411045430505.

It is not an unprimeable number, because it can be changed into a prime (4411045430501) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 696074697 + ... + 696081033.

It is an arithmetic number, because the mean of its divisors is an integer number (49149668880).

Almost surely, 2^{4411045430505} is an apocalyptic number.

4411045430505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4411045430505 is an abundant number, since it is smaller than the sum of its proper divisors (5025690994455).

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

4411045430505 is a wasteful number, since it uses less digits than its factorization.

4411045430505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9720 (or 9717 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 4411045430505 in words is "four trillion, four hundred eleven billion, forty-five million, four hundred thirty thousand, five hundred five".