4879689070401 has 48 divisors (see below), whose sum is σ = 7484157924048. Its totient is φ = 3053114265600.

The previous prime is 4879689070391. The next prime is 4879689070423. The reversal of 4879689070401 is 1040709869784.

4879689070401 is a `hidden beast` number, since 4 + 8 + 79 + 6 + 8 + 90 + 70 + 401 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 603379400625 + 4276309669776 = 776775^2 + 2067924^2 .

It is not a de Polignac number, because 4879689070401 - 2¹⁴ = 4879689054017 is a prime.

It is a super-2 number, since 2×4879689070401² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4879689070301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153351445 + ... + 153383261.

It is an arithmetic number, because the mean of its divisors is an integer number (155919956751).

Almost surely, 2^{4879689070401} is an apocalyptic number.

It is an amenable number.

4879689070401 is a deficient number, since it is larger than the sum of its proper divisors (2604468853647).

4879689070401 is a wasteful number, since it uses less digits than its factorization.

4879689070401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34642 (or 34639 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 4879689070401 in words is "four trillion, eight hundred seventy-nine billion, six hundred eighty-nine million, seventy thousand, four hundred one".