1024113002304 has 448 divisors, whose sum is σ = 3377361125376. Its totient is φ = 267164614656.

The previous prime is 1024113002273. The next prime is 1024113002317. The reversal of 1024113002304 is 4032003114201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1024113002304² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323777427 + ... + 323780589.

It is an arithmetic number, because the mean of its divisors is an integer number (7538752512).

Almost surely, 2^{1024113002304} is an apocalyptic number.

1024113002304 is a gapful number since it is divisible by the number (14) 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 1024113002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688680562688).

1024113002304 is an abundant number, since it is smaller than the sum of its proper divisors (2353248123072).

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

1024113002304 is a wasteful number, since it uses less digits than its factorization.

1024113002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1024113002304 its reverse (4032003114201), we get a palindrome (5056116116505).

The spelling of 1024113002304 in words is "one trillion, twenty-four billion, one hundred thirteen million, two thousand, three hundred four".