530434010400 has 288 divisors, whose sum is σ = 1991662525440. Its totient is φ = 120108549120.

The previous prime is 530434010357. The next prime is 530434010411. The reversal of 530434010400 is 4010434035.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1650061 + ... + 1945139.

It is an arithmetic number, because the mean of its divisors is an integer number (6915494880).

Almost surely, 2^530434010400 is an apocalyptic number.

530434010400 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 530434010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995831262720).

530434010400 is an abundant number, since it is smaller than the sum of its proper divisors (1461228515040).

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

530434010400 is a wasteful number, since it uses less digits than its factorization.

530434010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295216 (or 295203 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 530434010400 its reverse (4010434035), we get a palindrome (534444444435).

The spelling of 530434010400 in words is "five hundred thirty billion, four hundred thirty-four million, ten thousand, four hundred".