1404434344041 has 12 divisors (see below), whose sum is σ = 2051420953140. Its totient is φ = 925769454720.

The previous prime is 1404434344003. The next prime is 1404434344069.

1404434344041 is a `hidden beast` number, since 140 + 4 + 4 + 3 + 434 + 40 + 41 = 666.

1404434344041 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 595551758400 + 808882585641 = 771720^2 + 899379^2 .

It is not a de Polignac number, because 1404434344041 - 2¹⁴ = 1404434327657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1404434343987 and 1404434344005.

It is not an unprimeable number, because it can be changed into a prime (1404434346041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 876674820 + ... + 876676421.

It is an arithmetic number, because the mean of its divisors is an integer number (170951746095).

Almost surely, 2^{1404434344041} is an apocalyptic number.

It is an amenable number.

1404434344041 is a deficient number, since it is larger than the sum of its proper divisors (646986609099).

1404434344041 is a wasteful number, since it uses less digits than its factorization.

1404434344041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753351336 (or 1753351333 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 1404434344041 in words is "one trillion, four hundred four billion, four hundred thirty-four million, three hundred forty-four thousand, forty-one".