42629447961 has 27 divisors (see below), whose sum is σ = 63966017791. Its totient is φ = 28408482648.

The previous prime is 42629447947. The next prime is 42629447969. The reversal of 42629447961 is 16974492624.

The square root of 42629447961 is 206469.

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

42629447961 is a `hidden beast` number, since 4 + 2 + 629 + 4 + 4 + 7 + 9 + 6 + 1 = 666.

42629447961 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., 39414557961 + 3214890000 = 198531^2 + 56700^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 42629447961 - 2¹⁵ = 42629415193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42629447898 and 42629447907.

It is not an unprimeable number, because it can be changed into a prime (42629447969) 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, 16722715 + ... + 16725263.

Almost surely, 2^42629447961 is an apocalyptic number.

42629447961 is the 206469-th square number.

42629447961 is the 103235-th centered octagonal number.

It is an amenable number.

42629447961 is a deficient number, since it is larger than the sum of its proper divisors (21336569830).

42629447961 is an frugal number, since it uses more digits than its factorization.

42629447961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122 (or 2552 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 42629447961 in words is "forty-two billion, six hundred twenty-nine million, four hundred forty-seven thousand, nine hundred sixty-one".