442023113532000 has 3072 divisors, whose sum is σ = 2037657826713600. Its totient is φ = 82488139776000.

The previous prime is 442023113531947. The next prime is 442023113532023. The reversal of 442023113532000 is 235311320244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 21777745852 + ... + 21777766148.

It is an arithmetic number, because the mean of its divisors is an integer number (663300073800).

Almost surely, 2^{442023113532000} is an apocalyptic number.

442023113532000 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 442023113532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018828913356800).

442023113532000 is an abundant number, since it is smaller than the sum of its proper divisors (1595634713181600).

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

442023113532000 is a wasteful number, since it uses less digits than its factorization.

442023113532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20407 (or 20375 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 442023113532000 its reverse (235311320244), we get a palindrome (442258424852244).

The spelling of 442023113532000 in words is "four hundred forty-two trillion, twenty-three billion, one hundred thirteen million, five hundred thirty-two thousand".