10302004024224 has 96 divisors (see below), whose sum is σ = 29515499725824. Its totient is φ = 3120305498880.

The previous prime is 10302004024219. The next prime is 10302004024307. The reversal of 10302004024224 is 42242040020301.

10302004024224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×10302004024224⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 10302004024194 and 10302004024203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185914 + ... + 4542969.

It is an arithmetic number, because the mean of its divisors is an integer number (307453122144).

Almost surely, 2^{10302004024224} 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 10302004024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757749862912).

10302004024224 is an abundant number, since it is smaller than the sum of its proper divisors (19213495701600).

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

10302004024224 is a wasteful number, since it uses less digits than its factorization.

10302004024224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730970 (or 4730962 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10302004024224 its reverse (42242040020301), we get a palindrome (52544044044525).

The spelling of 10302004024224 in words is "ten trillion, three hundred two billion, four million, twenty-four thousand, two hundred twenty-four".