532223414400 has 192 divisors, whose sum is σ = 1756685779200. Its totient is φ = 141628723200.

The previous prime is 532223414389. The next prime is 532223414413. The reversal of 532223414400 is 4414322235.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4540530 + ... + 4656270.

It is an arithmetic number, because the mean of its divisors is an integer number (9149405100).

Almost surely, 2^532223414400 is an apocalyptic number.

532223414400 is a gapful number since it is divisible by the number (50) 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 532223414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878342889600).

532223414400 is an abundant number, since it is smaller than the sum of its proper divisors (1224462364800).

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

532223414400 is a wasteful number, since it uses less digits than its factorization.

532223414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116247 (or 116230 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 532223414400 its reverse (4414322235), we get a palindrome (536637736635).

The spelling of 532223414400 in words is "five hundred thirty-two billion, two hundred twenty-three million, four hundred fourteen thousand, four hundred".