533438326400 has 192 divisors, whose sum is σ = 1519834272000. Its totient is φ = 181214392320.

The previous prime is 533438326303. The next prime is 533438326423. The reversal of 533438326400 is 4623834335.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2332361 + ... + 2550839.

It is an arithmetic number, because the mean of its divisors is an integer number (7915803500).

Almost surely, 2^533438326400 is an apocalyptic number.

533438326400 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 533438326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759917136000).

533438326400 is an abundant number, since it is smaller than the sum of its proper divisors (986395945600).

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

533438326400 is a wasteful number, since it uses less digits than its factorization.

533438326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218619 (or 218602 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 533438326400 in words is "five hundred thirty-three billion, four hundred thirty-eight million, three hundred twenty-six thousand, four hundred".