532314134400 has 384 divisors, whose sum is σ = 1852759987200. Its totient is φ = 134055567360.

The previous prime is 532314134393. The next prime is 532314134413. The reversal of 532314134400 is 4431413235.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 17427942 + ... + 17458458.

It is an arithmetic number, because the mean of its divisors is an integer number (4824895800).

Almost surely, 2^532314134400 is an apocalyptic number.

532314134400 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 532314134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926379993600).

532314134400 is an abundant number, since it is smaller than the sum of its proper divisors (1320445852800).

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

532314134400 is a wasteful number, since it uses less digits than its factorization.

532314134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30646 (or 30629 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 532314134400 its reverse (4431413235), we get a palindrome (536745547635).

The spelling of 532314134400 in words is "five hundred thirty-two billion, three hundred fourteen million, one hundred thirty-four thousand, four hundred".