1047628960405 has 32 divisors (see below), whose sum is σ = 1389641992704. Its totient is φ = 754147147776.

The previous prime is 1047628960397. The next prime is 1047628960459. The reversal of 1047628960405 is 5040698267401.

It is not a de Polignac number, because 1047628960405 - 2³ = 1047628960397 is a prime.

It is a super-4 number, since 4×1047628960405⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4004112 + ... + 4257718.

It is an arithmetic number, because the mean of its divisors is an integer number (43426312272).

Almost surely, 2^{1047628960405} is an apocalyptic number.

It is an amenable number.

1047628960405 is a deficient number, since it is larger than the sum of its proper divisors (342013032299).

1047628960405 is a wasteful number, since it uses less digits than its factorization.

1047628960405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255765.

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 1047628960405 in words is "one trillion, forty-seven billion, six hundred twenty-eight million, nine hundred sixty thousand, four hundred five".