442043152500000 has 768 divisors, whose sum is σ = 1515409933040640. Its totient is φ = 112611840000000.

The previous prime is 442043152499959. The next prime is 442043152500007. The reversal of 442043152500000 is 5251340244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (442043152500007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256852499140 + ... + 256852500860.

It is an arithmetic number, because the mean of its divisors is an integer number (1973190016980).

Almost surely, 2^{442043152500000} is an apocalyptic number.

442043152500000 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 442043152500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757704966520320).

442043152500000 is an abundant number, since it is smaller than the sum of its proper divisors (1073366780540640).

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

442043152500000 is an equidigital number, since it uses as much as digits as its factorization.

442043152500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 442043152500000 in words is "four hundred forty-two trillion, forty-three billion, one hundred fifty-two million, five hundred thousand".