1304400041 has 12 divisors (see below), whose sum is σ = 1518151680. Its totient is φ = 1117476360.

The previous prime is 1304400011. The next prime is 1304400043. The reversal of 1304400041 is 1400044031.

It is a de Polignac number, because none of the positive numbers 2^k-1304400041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1304399992 and 1304400019.

It is not an unprimeable number, because it can be changed into a prime (1304400043) 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 11 ways as a sum of consecutive naturals, for example, 107480 + ... + 118998.

It is an arithmetic number, because the mean of its divisors is an integer number (126512640).

Almost surely, 2^1304400041 is an apocalyptic number.

It is an amenable number.

1304400041 is a deficient number, since it is larger than the sum of its proper divisors (213751639).

1304400041 is a wasteful number, since it uses less digits than its factorization.

1304400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13844 (or 13837 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1304400041 is about 36116.4788012342. The cubic root of 1304400041 is about 1092.6228229868.

Adding to 1304400041 its reverse (1400044031), we get a palindrome (2704444072).

The spelling of 1304400041 in words is "one billion, three hundred four million, four hundred thousand, forty-one".