442101043040 has 144 divisors (see below), whose sum is σ = 1095637496688. Its totient is φ = 168564937728.

The previous prime is 442101042997. The next prime is 442101043049. The reversal of 442101043040 is 40340101244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 442101042997 and 442101043015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442101043049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24790607 + ... + 24808433.

It is an arithmetic number, because the mean of its divisors is an integer number (7608593727).

Almost surely, 2^442101043040 is an apocalyptic number.

442101043040 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 442101043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547818748344).

442101043040 is an abundant number, since it is smaller than the sum of its proper divisors (653536453648).

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

442101043040 is a wasteful number, since it uses less digits than its factorization.

442101043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18181 (or 18150 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 442101043040 its reverse (40340101244), we get a palindrome (482441144284).

The spelling of 442101043040 in words is "four hundred forty-two billion, one hundred one million, forty-three thousand, forty".