442644241515504 has 240 divisors, whose sum is σ = 1354820277381120. Its totient is φ = 124136788446720.

The previous prime is 442644241515503. The next prime is 442644241515547. The reversal of 442644241515504 is 405515142446244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442644241515503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65502597 + ... + 71943579.

It is an arithmetic number, because the mean of its divisors is an integer number (5645084489088).

Almost surely, 2^{442644241515504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442644241515504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677410138690560).

442644241515504 is an abundant number, since it is smaller than the sum of its proper divisors (912176035865616).

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

442644241515504 is a wasteful number, since it uses less digits than its factorization.

442644241515504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441548 (or 6441535 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 51.

The spelling of 442644241515504 in words is "four hundred forty-two trillion, six hundred forty-four billion, two hundred forty-one million, five hundred fifteen thousand, five hundred four".