1305435406406 has 16 divisors (see below), whose sum is σ = 2025732844800. Its totient is φ = 630192396288.

The previous prime is 1305435406403. The next prime is 1305435406409. The reversal of 1305435406406 is 6046045345031.

It is an interprime number because it is at equal distance from previous prime (1305435406403) and next prime (1305435406409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305435406403) 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 7 ways as a sum of consecutive naturals, for example, 1883675 + ... + 2481753.

It is an arithmetic number, because the mean of its divisors is an integer number (126608302800).

Almost surely, 2^{1305435406406} is an apocalyptic number.

1305435406406 is a deficient number, since it is larger than the sum of its proper divisors (720297438394).

1305435406406 is a wasteful number, since it uses less digits than its factorization.

1305435406406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635743.

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 1305435406406 in words is "one trillion, three hundred five billion, four hundred thirty-five million, four hundred six thousand, four hundred six".