84442322534400 has 1536 divisors, whose sum is σ = 333224147289600. Its totient is φ = 20888263065600.

The previous prime is 84442322534399. The next prime is 84442322534413. The reversal of 84442322534400 is 443522324448.

84442322534400 is a `hidden beast` number, since 8 + 4 + 4 + 4 + 232 + 2 + 5 + 3 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26696907219 + ... + 26696910381.

It is an arithmetic number, because the mean of its divisors is an integer number (216942804225).

Almost surely, 2^{84442322534400} is an apocalyptic number.

84442322534400 is a gapful number since it is divisible by the number (80) 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 84442322534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166612073644800).

84442322534400 is an abundant number, since it is smaller than the sum of its proper divisors (248781824755200).

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

84442322534400 is a wasteful number, since it uses less digits than its factorization.

84442322534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

Adding to 84442322534400 its reverse (443522324448), we get a palindrome (84885844858848).

The spelling of 84442322534400 in words is "eighty-four trillion, four hundred forty-two billion, three hundred twenty-two million, five hundred thirty-four thousand, four hundred".