442154321000 has 128 divisors (see below), whose sum is σ = 1187162645760. Its totient is φ = 150991200000.

The previous prime is 442154320997. The next prime is 442154321017. The reversal of 442154321000 is 123451244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631174 + ... + 1882826.

It is an arithmetic number, because the mean of its divisors is an integer number (9274708170).

Almost surely, 2^442154321000 is an apocalyptic number.

442154321000 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 442154321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593581322880).

442154321000 is an abundant number, since it is smaller than the sum of its proper divisors (745008324760).

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

442154321000 is a wasteful number, since it uses less digits than its factorization.

442154321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251932 (or 251918 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 442154321000 its reverse (123451244), we get a palindrome (442277772244).

The spelling of 442154321000 in words is "four hundred forty-two billion, one hundred fifty-four million, three hundred twenty-one thousand".