442407110000 has 200 divisors, whose sum is σ = 1089890123520. Its totient is φ = 173882592000.

The previous prime is 442407109973. The next prime is 442407110099. The reversal of 442407110000 is 11704244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179328767 + ... + 179331233.

Almost surely, 2^442407110000 is an apocalyptic number.

442407110000 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 442407110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544945061760).

442407110000 is an abundant number, since it is smaller than the sum of its proper divisors (647483013520).

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

442407110000 is a wasteful number, since it uses less digits than its factorization.

442407110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

Adding to 442407110000 its reverse (11704244), we get a palindrome (442418814244).

The spelling of 442407110000 in words is "four hundred forty-two billion, four hundred seven million, one hundred ten thousand".