534323623072400 has 120 divisors (see below), whose sum is σ = 1553400005500800. Its totient is φ = 172420396001280.

The previous prime is 534323623072381. The next prime is 534323623072403. The reversal of 534323623072400 is 4270326323435.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (534323623072403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5612595500 + ... + 5612690699.

It is an arithmetic number, because the mean of its divisors is an integer number (12945000045840).

Almost surely, 2^{534323623072400} is an apocalyptic number.

534323623072400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

534323623072400 is an abundant number, since it is smaller than the sum of its proper divisors (1019076382428400).

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

534323623072400 is a wasteful number, since it uses less digits than its factorization.

534323623072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11225286241 (or 11225286230 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 44.

Adding to 534323623072400 its reverse (4270326323435), we get a palindrome (538593949395835).

The spelling of 534323623072400 in words is "five hundred thirty-four trillion, three hundred twenty-three billion, six hundred twenty-three million, seventy-two thousand, four hundred".