442453600512 has 864 divisors, whose sum is σ = 1658500945920. Its totient is φ = 110112768000.

The previous prime is 442453600489. The next prime is 442453600543. The reversal of 442453600512 is 215006354244.

442453600512 is a `hidden beast` number, since 4 + 4 + 2 + 45 + 3 + 600 + 5 + 1 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 429149437 + ... + 429150467.

It is an arithmetic number, because the mean of its divisors is an integer number (1919561280).

Almost surely, 2^442453600512 is an apocalyptic number.

442453600512 is a gapful number since it is divisible by the number (42) 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 442453600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829250472960).

442453600512 is an abundant number, since it is smaller than the sum of its proper divisors (1216047345408).

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

442453600512 is a wasteful number, since it uses less digits than its factorization.

442453600512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 442453600512 its reverse (215006354244), we get a palindrome (657459954756).

The spelling of 442453600512 in words is "four hundred forty-two billion, four hundred fifty-three million, six hundred thousand, five hundred twelve".