4580879809401 has 135 divisors (see below), whose sum is σ = 8125978837053. Its totient is φ = 2564249425920.

The previous prime is 4580879809351. The next prime is 4580879809427. The reversal of 4580879809401 is 1049089780854.

The square root of 4580879809401 is 2140299.

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

4580879809401 is a `hidden beast` number, since 4 + 5 + 80 + 8 + 79 + 80 + 9 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1887092901225 + 2693786908176 = 1373715^2 + 1641276^2 .

It is not a de Polignac number, because 4580879809401 - 2⁷ = 4580879809273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4580879809201) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 7146458041 + ... + 7146458681.

Almost surely, 2^{4580879809401} is an apocalyptic number.

4580879809401 is the 2140299-th square number.

4580879809401 is the 1070150-th centered octagonal number.

It is an amenable number.

4580879809401 is a deficient number, since it is larger than the sum of its proper divisors (3545099027652).

4580879809401 is an frugal number, since it uses more digits than its factorization.

4580879809401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 4580879809401 in words is "four trillion, five hundred eighty billion, eight hundred seventy-nine million, eight hundred nine thousand, four hundred one".