442743840000 has 1800 divisors, whose sum is σ = 2056755377600. Its totient is φ = 91998720000.

The previous prime is 442743839987. The next prime is 442743840013. The reversal of 442743840000 is 48347244.

It is a happy number.

442743840000 is a `hidden beast` number, since 4 + 4 + 274 + 384 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (442743839987) and next prime (442743840013).

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 40249439995 + ... + 40249440005.

Almost surely, 2^442743840000 is an apocalyptic number.

442743840000 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 442743840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028377688800).

442743840000 is an abundant number, since it is smaller than the sum of its proper divisors (1614011537600).

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

442743840000 is an frugal number, since it uses more digits than its factorization.

442743840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 442743840000 in words is "four hundred forty-two billion, seven hundred forty-three million, eight hundred forty thousand".