42016596244441 has 243 divisors, whose sum is σ = 58752148212639. Its totient is φ = 29940092005824.

The previous prime is 42016596244429. The next prime is 42016596244453. The reversal of 42016596244441 is 14444269561024.

The square root of 42016596244441 is 6482021.

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

42016596244441 is digitally balanced in base 2, because in such base 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 (42016596244429) and next prime (42016596244453).

It can be written as a sum of positive squares in only one way, i.e., 6215472817225 + 35801123427216 = 2493085^2 + 5983404^2 .

It is not a de Polignac number, because 42016596244441 - 2⁵ = 42016596244409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42016596241441) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 257770529026 + ... + 257770529188.

Almost surely, 2^{42016596244441} is an apocalyptic number.

42016596244441 is the 6482021-st square number.

42016596244441 is the 3241011-st centered octagonal number.

It is an amenable number.

42016596244441 is a deficient number, since it is larger than the sum of its proper divisors (16735551968198).

42016596244441 is a wasteful number, since it uses less digits than its factorization.

42016596244441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 42016596244441 in words is "forty-two trillion, sixteen billion, five hundred ninety-six million, two hundred forty-four thousand, four hundred forty-one".