442440121200000 has 1536 divisors, whose sum is σ = 1870397086924800. Its totient is φ = 89978649600000.

The previous prime is 442440121199971. The next prime is 442440121200029. The reversal of 442440121200000 is 2121044244.

It is an interprime number because it is at equal distance from previous prime (442440121199971) and next prime (442440121200029).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4342749061 + ... + 4342850939.

It is an arithmetic number, because the mean of its divisors is an integer number (1217706436800).

Almost surely, 2^{442440121200000} is an apocalyptic number.

442440121200000 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 442440121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935198543462400).

442440121200000 is an abundant number, since it is smaller than the sum of its proper divisors (1427956965724800).

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

442440121200000 is a wasteful number, since it uses less digits than its factorization.

442440121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101986 (or 101954 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 442440121200000 its reverse (2121044244), we get a palindrome (442442242244244).

The spelling of 442440121200000 in words is "four hundred forty-two trillion, four hundred forty billion, one hundred twenty-one million, two hundred thousand".