42219468517801 has 9 divisors (see below), whose sum is σ = 42436155025911. Its totient is φ = 42003882955272.

The previous prime is 42219468517781. The next prime is 42219468517829. The reversal of 42219468517801 is 10871586491224.

It is a happy number.

The square root of 42219468517801 is 6497651.

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

It can be written as a sum of positive squares in only one way, i.e., 41366571939225 + 852896578576 = 6431685^2 + 923524^2 .

It is not a de Polignac number, because 42219468517801 - 2⁷ = 42219468517673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42219468517601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1280020756 + ... + 1280053738.

Almost surely, 2^{42219468517801} is an apocalyptic number.

42219468517801 is the 6497651-st square number.

42219468517801 is the 3248826-th centered octagonal number.

It is an amenable number.

42219468517801 is a deficient number, since it is larger than the sum of its proper divisors (216686508110).

42219468517801 is an frugal number, since it uses more digits than its factorization.

42219468517801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66360 (or 33180 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 42219468517801 in words is "forty-two trillion, two hundred nineteen billion, four hundred sixty-eight million, five hundred seventeen thousand, eight hundred one".