42468554241 has 27 divisors (see below), whose sum is σ = 62261465097. Its totient is φ = 27894853440.

The previous prime is 42468554179. The next prime is 42468554251. The reversal of 42468554241 is 14245586424.

The square root of 42468554241 is 206079.

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

42468554241 is a `hidden beast` number, since 4 + 2 + 4 + 68 + 5 + 542 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1501175025 + 40967379216 = 38745^2 + 202404^2 .

It is not a de Polignac number, because 42468554241 - 2¹³ = 42468546049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42468554251) 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, 45130831 + ... + 45131771.

Almost surely, 2^42468554241 is an apocalyptic number.

42468554241 is the 206079-th square number.

42468554241 is the 103040-th centered octagonal number.

It is an amenable number.

42468554241 is a deficient number, since it is larger than the sum of its proper divisors (19792910856).

42468554241 is an frugal number, since it uses more digits than its factorization.

42468554241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 1017 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The spelling of 42468554241 in words is "forty-two billion, four hundred sixty-eight million, five hundred fifty-four thousand, two hundred forty-one".