42301729824484 has 27 divisors (see below), whose sum is σ = 80160846934203. Its totient is φ = 19523797255872.

The previous prime is 42301729824421. The next prime is 42301729824547. The reversal of 42301729824484 is 48442892710324.

The square root of 42301729824484 is 6503978.

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

42301729824484 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42301729824421) and next prime (42301729824547).

It can be written as a sum of positive squares in 4 ways, for example, as 9042518098084 + 33259211726400 = 3007078^2 + 5767080^2 .

It is a super-2 number, since 2×42301729824484² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 168978352 + ... + 169228504.

Almost surely, 2^{42301729824484} is an apocalyptic number.

42301729824484 is the 6503978-th square number.

It is an amenable number.

42301729824484 is a deficient number, since it is larger than the sum of its proper divisors (37859117109719).

42301729824484 is an frugal number, since it uses more digits than its factorization.

42301729824484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500336 (or 250168 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 58.

The spelling of 42301729824484 in words is "forty-two trillion, three hundred one billion, seven hundred twenty-nine million, eight hundred twenty-four thousand, four hundred eighty-four".