442991926720 has 224 divisors, whose sum is σ = 1270683158400. Its totient is φ = 143877586944.

The previous prime is 442991926717. The next prime is 442991926759. The reversal of 442991926720 is 27629199244.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3378546 + ... + 3507214.

Almost surely, 2^442991926720 is an apocalyptic number.

442991926720 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 442991926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635341579200).

442991926720 is an abundant number, since it is smaller than the sum of its proper divisors (827691231680).

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

442991926720 is a wasteful number, since it uses less digits than its factorization.

442991926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128775 (or 128765 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 442991926720 in words is "four hundred forty-two billion, nine hundred ninety-one million, nine hundred twenty-six thousand, seven hundred twenty".