442543430052000 has 288 divisors, whose sum is σ = 1570729912786944. Its totient is φ = 118000815552000.

The previous prime is 442543430051941. The next prime is 442543430052011. The reversal of 442543430052000 is 250034345244.

442543430052000 is a `hidden beast` number, since 4 + 42 + 54 + 3 + 43 + 0 + 0 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398000817 + ... + 399111183.

It is an arithmetic number, because the mean of its divisors is an integer number (5453923308288).

Almost surely, 2^{442543430052000} is an apocalyptic number.

442543430052000 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 442543430052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785364956393472).

442543430052000 is an abundant number, since it is smaller than the sum of its proper divisors (1128186482734944).

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

442543430052000 is a wasteful number, since it uses less digits than its factorization.

442543430052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121469 (or 1121448 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 442543430052000 its reverse (250034345244), we get a palindrome (442793464397244).

The spelling of 442543430052000 in words is "four hundred forty-two trillion, five hundred forty-three billion, four hundred thirty million, fifty-two thousand".