442206025461261 has 6 divisors (see below), whose sum is σ = 638742036777390. Its totient is φ = 294804016974168.

The previous prime is 442206025461251. The next prime is 442206025461271. The reversal of 442206025461261 is 162164520602244.

442206025461261 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 0 + 6 + 0 + 25 + 4 + 612 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (442206025461251) and next prime (442206025461271).

It can be written as a sum of positive squares in only one way, i.e., 383964416900100 + 58241608561161 = 19595010^2 + 7631619^2 .

It is not a de Polignac number, because 442206025461261 - 2¹⁰ = 442206025460237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442206025461251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24567001414506 + ... + 24567001414523.

It is an arithmetic number, because the mean of its divisors is an integer number (106457006129565).

Almost surely, 2^{442206025461261} is an apocalyptic number.

It is an amenable number.

442206025461261 is a deficient number, since it is larger than the sum of its proper divisors (196536011316129).

442206025461261 is a wasteful number, since it uses less digits than its factorization.

442206025461261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49134002829035 (or 49134002829032 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 442206025461261 in words is "four hundred forty-two trillion, two hundred six billion, twenty-five million, four hundred sixty-one thousand, two hundred sixty-one".