442968340800 has 336 divisors, whose sum is σ = 1539588731840. Its totient is φ = 111191408640.

The previous prime is 442968340783. The next prime is 442968340831. The reversal of 442968340800 is 8043869244.

It is a super-2 number, since 2×442968340800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 442968340800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14302932 + ... + 14333868.

Almost surely, 2^442968340800 is an apocalyptic number.

442968340800 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 442968340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769794365920).

442968340800 is an abundant number, since it is smaller than the sum of its proper divisors (1096620391040).

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

442968340800 is a wasteful number, since it uses less digits than its factorization.

442968340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31138 (or 31123 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 442968340800 in words is "four hundred forty-two billion, nine hundred sixty-eight million, three hundred forty thousand, eight hundred".