4205476205072 has 40 divisors (see below), whose sum is σ = 8383037093400. Its totient is φ = 2042311560192.

The previous prime is 4205476205069. The next prime is 4205476205087. The reversal of 4205476205072 is 2705026745024.

It can be written as a sum of positive squares in 4 ways, for example, as 387735363856 + 3817740841216 = 622684^2 + 1953904^2 .

It is a super-2 number, since 2×4205476205072² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5905547 + ... + 6579242.

It is an arithmetic number, because the mean of its divisors is an integer number (209575927335).

Almost surely, 2^{4205476205072} is an apocalyptic number.

It is an amenable number.

4205476205072 is a deficient number, since it is larger than the sum of its proper divisors (4177560888328).

4205476205072 is a wasteful number, since it uses less digits than its factorization.

4205476205072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485403 (or 12485397 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The spelling of 4205476205072 in words is "four trillion, two hundred five billion, four hundred seventy-six million, two hundred five thousand, seventy-two".