442031110024000 has 224 divisors, whose sum is σ = 1256537579132160. Its totient is φ = 150891713280000.

The previous prime is 442031110023967. The next prime is 442031110024051. The reversal of 442031110024000 is 420011130244.

It is a happy number.

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, 4410526 + ... + 30058525.

Almost surely, 2^{442031110024000} is an apocalyptic number.

442031110024000 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 442031110024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628268789566080).

442031110024000 is an abundant number, since it is smaller than the sum of its proper divisors (814506469108160).

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

442031110024000 is a wasteful number, since it uses less digits than its factorization.

442031110024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34469314 (or 34469294 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 442031110024000 its reverse (420011130244), we get a palindrome (442451121154244).

The spelling of 442031110024000 in words is "four hundred forty-two trillion, thirty-one billion, one hundred ten million, twenty-four thousand".