442707413624 has 128 divisors (see below), whose sum is σ = 985353600000. Its totient is φ = 186343597440.

The previous prime is 442707413557. The next prime is 442707413627. The reversal of 442707413624 is 426314707244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442707413627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143781317 + ... + 143784395.

It is an arithmetic number, because the mean of its divisors is an integer number (7698075000).

Almost surely, 2^442707413624 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 442707413624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492676800000).

442707413624 is an abundant number, since it is smaller than the sum of its proper divisors (542646186376).

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

442707413624 is a wasteful number, since it uses less digits than its factorization.

442707413624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 44.

The spelling of 442707413624 in words is "four hundred forty-two billion, seven hundred seven million, four hundred thirteen thousand, six hundred twenty-four".