1005441415123 has 16 divisors (see below), whose sum is σ = 1064372774400. Its totient is φ = 947116316160.

The previous prime is 1005441415109. The next prime is 1005441415157. The reversal of 1005441415123 is 3215141445001.

It is a cyclic number.

It is not a de Polignac number, because 1005441415123 - 2²⁹ = 1004904544211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005441415423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7409778 + ... + 7544248.

It is an arithmetic number, because the mean of its divisors is an integer number (66523298400).

Almost surely, 2^{1005441415123} is an apocalyptic number.

1005441415123 is a deficient number, since it is larger than the sum of its proper divisors (58931359277).

1005441415123 is a wasteful number, since it uses less digits than its factorization.

1005441415123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136722.

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 1005441415123 in words is "one trillion, five billion, four hundred forty-one million, four hundred fifteen thousand, one hundred twenty-three".