1530004013424 has 160 divisors (see below), whose sum is σ = 4453193548800. Its totient is φ = 502861893120.

The previous prime is 1530004013413. The next prime is 1530004013449. The reversal of 1530004013424 is 4243104000351.

It is a happy number.

1530004013424 is a `hidden beast` number, since 15 + 300 + 0 + 4 + 0 + 1 + 342 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155499097 + ... + 155508935.

It is an arithmetic number, because the mean of its divisors is an integer number (27832459680).

Almost surely, 2^{1530004013424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530004013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226596774400).

1530004013424 is an abundant number, since it is smaller than the sum of its proper divisors (2923189535376).

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

1530004013424 is a wasteful number, since it uses less digits than its factorization.

1530004013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14860 (or 14848 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1530004013424 its reverse (4243104000351), we get a palindrome (5773108013775).

The spelling of 1530004013424 in words is "one trillion, five hundred thirty billion, four million, thirteen thousand, four hundred twenty-four".