442306414381 has 16 divisors (see below), whose sum is σ = 492748558848. Its totient is φ = 394266196800.

The previous prime is 442306414327. The next prime is 442306414391. The reversal of 442306414381 is 183414603244.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 442306414381 - 2⁹ = 442306413869 is a prime.

It is a super-2 number, since 2×442306414381² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442306414391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986890 + ... + 1363291.

It is an arithmetic number, because the mean of its divisors is an integer number (30796784928).

Almost surely, 2^442306414381 is an apocalyptic number.

It is an amenable number.

442306414381 is a deficient number, since it is larger than the sum of its proper divisors (50442144467).

442306414381 is a wasteful number, since it uses less digits than its factorization.

442306414381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350692.

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 442306414381 in words is "four hundred forty-two billion, three hundred six million, four hundred fourteen thousand, three hundred eighty-one".