42042307872016 has 225 divisors, whose sum is σ = 88909382764083. Its totient is φ = 19259048040960.

The previous prime is 42042307871969. The next prime is 42042307872127. The reversal of 42042307872016 is 61027870324024.

The square root of 42042307872016 is 6484004.

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

It can be written as a sum of positive squares in 2 ways, for example, as 13047959942416 + 28994347929600 = 3612196^2 + 5384640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 532181112265 + ... + 532181112343.

Almost surely, 2^{42042307872016} is an apocalyptic number.

42042307872016 is the 6484004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42042307872016

42042307872016 is an abundant number, since it is smaller than the sum of its proper divisors (46867074892067).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42042307872016 is an frugal number, since it uses more digits than its factorization.

42042307872016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 42042307872016 in words is "forty-two trillion, forty-two billion, three hundred seven million, eight hundred seventy-two thousand, sixteen".