1030313404224 has 448 divisors, whose sum is σ = 3341661388800. Its totient is φ = 309312608256.

The previous prime is 1030313404223. The next prime is 1030313404259. The reversal of 1030313404224 is 4224043130301.

1030313404224 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 31 + 3 + 404 + 224 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030313404223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387480207 + ... + 387482865.

It is an arithmetic number, because the mean of its divisors is an integer number (7459065600).

Almost surely, 2^{1030313404224} 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 1030313404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670830694400).

1030313404224 is an abundant number, since it is smaller than the sum of its proper divisors (2311347984576).

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

1030313404224 is a wasteful number, since it uses less digits than its factorization.

1030313404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1030313404224 its reverse (4224043130301), we get a palindrome (5254356534525).

The spelling of 1030313404224 in words is "one trillion, thirty billion, three hundred thirteen million, four hundred four thousand, two hundred twenty-four".