442020732672000 has 3072 divisors, whose sum is σ = 1653172125696000. Its totient is φ = 104411234304000.

The previous prime is 442020732671989. The next prime is 442020732672023. The reversal of 442020732672000 is 276237020244.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×442020732672000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442020732672000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2469389567911 + ... + 2469389568089.

It is an arithmetic number, because the mean of its divisors is an integer number (538141968000).

Almost surely, 2^{442020732672000} is an apocalyptic number.

442020732672000 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 442020732672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826586062848000).

442020732672000 is an abundant number, since it is smaller than the sum of its proper divisors (1211151393024000).

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

442020732672000 is a wasteful number, since it uses less digits than its factorization.

442020732672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

Adding to 442020732672000 its reverse (276237020244), we get a palindrome (442296969692244).

The spelling of 442020732672000 in words is "four hundred forty-two trillion, twenty billion, seven hundred thirty-two million, six hundred seventy-two thousand".