442232040096000 has 5760 divisors, whose sum is σ = 2105014214983680. Its totient is φ = 89543688192000.

The previous prime is 442232040095891. The next prime is 442232040096029. The reversal of 442232040096000 is 690040232244.

442232040096000 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 3 + 2 + 0 + 40 + 0 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

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 639 ways as a sum of consecutive naturals, for example, 1850343263881 + ... + 1850343264119.

It is an arithmetic number, because the mean of its divisors is an integer number (365453856768).

Almost surely, 2^{442232040096000} is an apocalyptic number.

442232040096000 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 442232040096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052507107491840).

442232040096000 is an abundant number, since it is smaller than the sum of its proper divisors (1662782174887680).

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

442232040096000 is a wasteful number, since it uses less digits than its factorization.

442232040096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 442232040096000 in words is "four hundred forty-two trillion, two hundred thirty-two billion, forty million, ninety-six thousand".