407253024221121 has 135 divisors (see below), whose sum is σ = 664133876062041. Its totient is φ = 248590315149696.

The previous prime is 407253024221111. The next prime is 407253024221159. The reversal of 407253024221121 is 121122420352704.

The square root of 407253024221121 is 20180511.

It is a perfect power (a square), and thus also a powerful number.

407253024221121 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 5 + 302 + 4 + 221 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36201412931121 + 371051611290000 = 6016761^2 + 19262700^2 .

It is not a de Polignac number, because 407253024221121 - 2¹¹ = 407253024219073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407253024221111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 323473410190 + ... + 323473411448.

Almost surely, 2^{407253024221121} is an apocalyptic number.

407253024221121 is the 20180511-st square number.

407253024221121 is the 10090256-th centered octagonal number.

It is an amenable number.

407253024221121 is a deficient number, since it is larger than the sum of its proper divisors (256880851840920).

407253024221121 is an frugal number, since it uses more digits than its factorization.

407253024221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 407253024221121 its reverse (121122420352704), we get a palindrome (528375444573825).

The spelling of 407253024221121 in words is "four hundred seven trillion, two hundred fifty-three billion, twenty-four million, two hundred twenty-one thousand, one hundred twenty-one".