442421026788000 has 384 divisors, whose sum is σ = 1561069915292160. Its totient is φ = 108889087795200.

The previous prime is 442421026787981. The next prime is 442421026788131. The reversal of 442421026788000 is 887620124244.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1191498372 + ... + 1191869628.

It is an arithmetic number, because the mean of its divisors is an integer number (4065286237740).

Almost surely, 2^{442421026788000} is an apocalyptic number.

442421026788000 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 442421026788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780534957646080).

442421026788000 is an abundant number, since it is smaller than the sum of its proper divisors (1118648888504160).

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

442421026788000 is a wasteful number, since it uses less digits than its factorization.

442421026788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378937 (or 378919 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 442421026788000 in words is "four hundred forty-two trillion, four hundred twenty-one billion, twenty-six million, seven hundred eighty-eight thousand".