442236648672 has 1728 divisors, whose sum is σ = 1780198318080. Its totient is φ = 106662334464.

The previous prime is 442236648631. The next prime is 442236648677. The reversal of 442236648672 is 276846632244.

442236648672 is a `hidden beast` number, since 44 + 22 + 36 + 6 + 486 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442236648677) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3482178273 + ... + 3482178399.

It is an arithmetic number, because the mean of its divisors is an integer number (1030207360).

Almost surely, 2^442236648672 is an apocalyptic number.

442236648672 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 442236648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890099159040).

442236648672 is an abundant number, since it is smaller than the sum of its proper divisors (1337961669408).

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

442236648672 is a wasteful number, since it uses less digits than its factorization.

442236648672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 442236648672 in words is "four hundred forty-two billion, two hundred thirty-six million, six hundred forty-eight thousand, six hundred seventy-two".