442421003341040 has 20 divisors (see below), whose sum is σ = 1028628832768104. Its totient is φ = 176968401336384.

The previous prime is 442421003341001. The next prime is 442421003341049. The reversal of 442421003341040 is 40143300124244.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×442421003341040³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442421003340988 and 442421003341006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442421003341049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2765131270802 + ... + 2765131270961.

Almost surely, 2^{442421003341040} is an apocalyptic number.

442421003341040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442421003341040 is an abundant number, since it is smaller than the sum of its proper divisors (586207829427064).

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

442421003341040 is a wasteful number, since it uses less digits than its factorization.

442421003341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530262541776 (or 5530262541770 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 442421003341040 its reverse (40143300124244), we get a palindrome (482564303465284).

The spelling of 442421003341040 in words is "four hundred forty-two trillion, four hundred twenty-one billion, three million, three hundred forty-one thousand, forty".