442013607001081 has 16 divisors (see below), whose sum is σ = 443298978201600. Its totient is φ = 440728944597648.

The previous prime is 442013607001037. The next prime is 442013607001097. The reversal of 442013607001081 is 180100706310244.

It is a cyclic number.

It is not a de Polignac number, because 442013607001081 - 2²⁷ = 442013472783353 is a prime.

It is a super-2 number, since 2×442013607001081² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442013607001081.

It is not an unprimeable number, because it can be changed into a prime (442013607001781) 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 15 ways as a sum of consecutive naturals, for example, 28778793480 + ... + 28778808838.

It is an arithmetic number, because the mean of its divisors is an integer number (27706186137600).

Almost surely, 2^{442013607001081} is an apocalyptic number.

It is an amenable number.

442013607001081 is a deficient number, since it is larger than the sum of its proper divisors (1285371200519).

442013607001081 is a wasteful number, since it uses less digits than its factorization.

442013607001081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33108.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 442013607001081 in words is "four hundred forty-two trillion, thirteen billion, six hundred seven million, one thousand, eighty-one".