442131523052440 has 128 divisors (see below), whose sum is σ = 1131595437772800. Its totient is φ = 154308468303360.

The previous prime is 442131523052371. The next prime is 442131523052507. The reversal of 442131523052440 is 44250325131244.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 442131523052393 and 442131523052402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318231420 + ... + 319617739.

It is an arithmetic number, because the mean of its divisors is an integer number (8840589357600).

Almost surely, 2^{442131523052440} is an apocalyptic number.

442131523052440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442131523052440 is an abundant number, since it is smaller than the sum of its proper divisors (689463914720360).

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

442131523052440 is a wasteful number, since it uses less digits than its factorization.

442131523052440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637849257 (or 637849253 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 442131523052440 its reverse (44250325131244), we get a palindrome (486381848183684).

The spelling of 442131523052440 in words is "four hundred forty-two trillion, one hundred thirty-one billion, five hundred twenty-three million, fifty-two thousand, four hundred forty".