49420464140961 has 27 divisors (see below), whose sum is σ = 71871994976691. Its totient is φ = 32723774578224.

The previous prime is 49420464140941. The next prime is 49420464141043. The reversal of 49420464140961 is 16904146402494.

It is a happy number.

The square root of 49420464140961 is 7029969.

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

49420464140961 is a `hidden beast` number, since 4 + 94 + 2 + 0 + 464 + 1 + 4 + 0 + 96 + 1 = 666.

49420464140961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5789947625361 + 43630516515600 = 2406231^2 + 6605340^2 .

It is not a de Polignac number, because 49420464140961 - 2²⁷ = 49420329923233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 49420464140898 and 49420464140907.

It is not an unprimeable number, because it can be changed into a prime (49420464140921) 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 26 ways as a sum of consecutive naturals, for example, 3142388280 + ... + 3142404006.

Almost surely, 2^{49420464140961} is an apocalyptic number.

49420464140961 is the 7029969-th square number.

49420464140961 is the 3514985-th centered octagonal number.

It is an amenable number.

49420464140961 is a deficient number, since it is larger than the sum of its proper divisors (22451530835730).

49420464140961 is an frugal number, since it uses more digits than its factorization.

49420464140961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31758 (or 15879 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 49420464140961 in words is "forty-nine trillion, four hundred twenty billion, four hundred sixty-four million, one hundred forty thousand, nine hundred sixty-one".