4940835394401 has 27 divisors (see below), whose sum is σ = 7307017309137. Its totient is φ = 3217101448680.

The previous prime is 4940835394357. The next prime is 4940835394471. The reversal of 4940835394401 is 1044935380494.

The square root of 4940835394401 is 2222799.

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

4940835394401 is a `hidden beast` number, since 4 + 94 + 0 + 83 + 5 + 39 + 440 + 1 = 666.

It is not a de Polignac number, because 4940835394401 - 2²⁷ = 4940701176673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4940835394471) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 286732456 + ... + 286749686.

Almost surely, 2^{4940835394401} is an apocalyptic number.

4940835394401 is the 2222799-th square number.

4940835394401 is the 1111400-th centered octagonal number.

It is an amenable number.

4940835394401 is a deficient number, since it is larger than the sum of its proper divisors (2366181914736).

4940835394401 is an frugal number, since it uses more digits than its factorization.

4940835394401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34554 (or 17277 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4940835394401 in words is "four trillion, nine hundred forty billion, eight hundred thirty-five million, three hundred ninety-four thousand, four hundred one".