442410423004020 has 192 divisors, whose sum is σ = 1250422772046336. Its totient is φ = 116868997324800.

The previous prime is 442410423003977. The next prime is 442410423004037. The reversal of 442410423004020 is 20400324014244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7175317032 + ... + 7175378688.

It is an arithmetic number, because the mean of its divisors is an integer number (6512618604408).

Almost surely, 2^{442410423004020} 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 442410423004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625211386023168).

442410423004020 is an abundant number, since it is smaller than the sum of its proper divisors (808012349042316).

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

442410423004020 is a wasteful number, since it uses less digits than its factorization.

442410423004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64010 (or 64008 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 442410423004020 its reverse (20400324014244), we get a palindrome (462810747018264).

The spelling of 442410423004020 in words is "four hundred forty-two trillion, four hundred ten billion, four hundred twenty-three million, four thousand, twenty".