480120404033 has 2 divisors, whose sum is σ = 480120404034. Its totient is φ = 480120404032.

The previous prime is 480120403949. The next prime is 480120404083. The reversal of 480120404033 is 330404021084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438605526529 + 41514877504 = 662273^2 + 203752^2 .

It is a cyclic number.

It is not a de Polignac number, because 480120404033 - 2²⁴ = 480103626817 is a prime.

It is a super-2 number, since 2×480120404033² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480120403987 and 480120404005.

It is not a weakly prime, because it can be changed into another prime (480120404083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240060202016 + 240060202017.

It is an arithmetic number, because the mean of its divisors is an integer number (240060202017).

Almost surely, 2^480120404033 is an apocalyptic number.

It is an amenable number.

480120404033 is a deficient number, since it is larger than the sum of its proper divisors (1).

480120404033 is an equidigital number, since it uses as much as digits as its factorization.

480120404033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 480120404033 in words is "four hundred eighty billion, one hundred twenty million, four hundred four thousand, thirty-three".