442413413376 has 352 divisors, whose sum is σ = 1361828160000. Its totient is φ = 126419435520.

The previous prime is 442413413371. The next prime is 442413413383. The reversal of 442413413376 is 673314314244.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442413413371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42133375 + ... + 42143873.

It is an arithmetic number, because the mean of its divisors is an integer number (3868830000).

Almost surely, 2^442413413376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442413413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680914080000).

442413413376 is an abundant number, since it is smaller than the sum of its proper divisors (919414746624).

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

442413413376 is a wasteful number, since it uses less digits than its factorization.

442413413376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605 (or 10587 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The spelling of 442413413376 in words is "four hundred forty-two billion, four hundred thirteen million, four hundred thirteen thousand, three hundred seventy-six".