530442134400 has 384 divisors, whose sum is σ = 1768664700000. Its totient is φ = 139717509120.

The previous prime is 530442134393. The next prime is 530442134401. The reversal of 530442134400 is 4431244035.

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 not an unprimeable number, because it can be changed into a prime (530442134401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469833036 + ... + 469834164.

Almost surely, 2^530442134400 is an apocalyptic number.

530442134400 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 530442134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884332350000).

530442134400 is an abundant number, since it is smaller than the sum of its proper divisors (1238222565600).

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

530442134400 is a wasteful number, since it uses less digits than its factorization.

530442134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1697 counting only the distinct ones).

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

Adding to 530442134400 its reverse (4431244035), we get a palindrome (534873378435).

The spelling of 530442134400 in words is "five hundred thirty billion, four hundred forty-two million, one hundred thirty-four thousand, four hundred".