442002193920 has 960 divisors, whose sum is σ = 1793105233920. Its totient is φ = 98545434624.

The previous prime is 442002193909. The next prime is 442002193943. The reversal of 442002193920 is 29391200244.

442002193920 is a `hidden beast` number, since 44 + 200 + 21 + 9 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1439746407 + ... + 1439746713.

It is an arithmetic number, because the mean of its divisors is an integer number (1867817952).

Almost surely, 2^442002193920 is an apocalyptic number.

442002193920 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 442002193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896552616960).

442002193920 is an abundant number, since it is smaller than the sum of its proper divisors (1351103040000).

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

442002193920 is a wasteful number, since it uses less digits than its factorization.

442002193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 442002193920 in words is "four hundred forty-two billion, two million, one hundred ninety-three thousand, nine hundred twenty".