442011422440 has 64 divisors (see below), whose sum is σ = 1136662479360. Its totient is φ = 151538549760.

The previous prime is 442011422429. The next prime is 442011422467. The reversal of 442011422440 is 44224110244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 442011422399 and 442011422408.

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 15 ways as a sum of consecutive naturals, for example, 7483825 + ... + 7542655.

It is an arithmetic number, because the mean of its divisors is an integer number (17760351240).

Almost surely, 2^442011422440 is an apocalyptic number.

442011422440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442011422440 is an abundant number, since it is smaller than the sum of its proper divisors (694651056920).

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

442011422440 is a wasteful number, since it uses less digits than its factorization.

442011422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85682 (or 85678 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 442011422440 its reverse (44224110244), we get a palindrome (486235532684).

It can be divided in two parts, 44201 and 1422440, that added together give a palindrome (1466641).

The spelling of 442011422440 in words is "four hundred forty-two billion, eleven million, four hundred twenty-two thousand, four hundred forty".