1004130431424 has 168 divisors, whose sum is σ = 2901245981088. Its totient is φ = 332032296960.

The previous prime is 1004130431413. The next prime is 1004130431459. The reversal of 1004130431424 is 4241340314001.

1004130431424 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 304 + 314 + 2 + 4 = 666.

1004130431424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57053794 + ... + 57071390.

It is an arithmetic number, because the mean of its divisors is an integer number (17269321316).

Almost surely, 2^{1004130431424} 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 1004130431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450622990544).

1004130431424 is an abundant number, since it is smaller than the sum of its proper divisors (1897115549664).

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

1004130431424 is a wasteful number, since it uses less digits than its factorization.

1004130431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18403 (or 18390 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1004130431424 its reverse (4241340314001), we get a palindrome (5245470745425).

The spelling of 1004130431424 in words is "one trillion, four billion, one hundred thirty million, four hundred thirty-one thousand, four hundred twenty-four".