442069373507904 has 448 divisors, whose sum is σ = 1331668371456000. Its totient is φ = 143742283776000.

The previous prime is 442069373507737. The next prime is 442069373507933. The reversal of 442069373507904 is 409705373960244.

It is a happy number.

442069373507904 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 6 + 9 + 37 + 3 + 507 + 90 + 4 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 30697123104 + ... + 30697137504.

Almost surely, 2^{442069373507904} 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 442069373507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665834185728000).

442069373507904 is an abundant number, since it is smaller than the sum of its proper divisors (889598997948096).

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

442069373507904 is a wasteful number, since it uses less digits than its factorization.

442069373507904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15699 (or 15683 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 442069373507904 in words is "four hundred forty-two trillion, sixty-nine billion, three hundred seventy-three million, five hundred seven thousand, nine hundred four".