442523513333440 has 224 divisors, whose sum is σ = 1313811792691200. Its totient is φ = 137925816913920.

The previous prime is 442523513333431. The next prime is 442523513333459. The reversal of 442523513333440 is 44333315325244.

It is a tau number, because it is divible by the number of its divisors (224).

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, 1040556366 + ... + 1040981554.

Almost surely, 2^{442523513333440} is an apocalyptic number.

442523513333440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442523513333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656905896345600).

442523513333440 is an abundant number, since it is smaller than the sum of its proper divisors (871288279357760).

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

442523513333440 is a wasteful number, since it uses less digits than its factorization.

442523513333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467463 (or 467453 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 46.

Adding to 442523513333440 its reverse (44333315325244), we get a palindrome (486856828658684).

The spelling of 442523513333440 in words is "four hundred forty-two trillion, five hundred twenty-three billion, five hundred thirteen million, three hundred thirty-three thousand, four hundred forty".