1004410210041 has 144 divisors (see below), whose sum is σ = 1805825299200. Its totient is φ = 525969884160.

The previous prime is 1004410210033. The next prime is 1004410210043. The reversal of 1004410210041 is 1400120144001.

1004410210041 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 410 + 210 + 0 + 41 = 666.

It is not a de Polignac number, because 1004410210041 - 2³ = 1004410210033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004410209996 and 1004410210023.

It is not an unprimeable number, because it can be changed into a prime (1004410210043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113629500 + ... + 113638338.

Almost surely, 2^{1004410210041} is an apocalyptic number.

It is an amenable number.

1004410210041 is a deficient number, since it is larger than the sum of its proper divisors (801415089159).

1004410210041 is a wasteful number, since it uses less digits than its factorization.

1004410210041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1004410210041 its reverse (1400120144001), we get a palindrome (2404530354042).

The spelling of 1004410210041 in words is "one trillion, four billion, four hundred ten million, two hundred ten thousand, forty-one".