1023300440224 has 96 divisors (see below), whose sum is σ = 2147919814656. Its totient is φ = 478773799680.

The previous prime is 1023300440219. The next prime is 1023300440303. The reversal of 1023300440224 is 4220440033201.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 95710719 + ... + 95721409.

It is an arithmetic number, because the mean of its divisors is an integer number (22374164736).

Almost surely, 2^{1023300440224} 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 1023300440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073959907328).

1023300440224 is an abundant number, since it is smaller than the sum of its proper divisors (1124619374432).

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

1023300440224 is a wasteful number, since it uses less digits than its factorization.

1023300440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13538 (or 13530 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 1023300440224 its reverse (4220440033201), we get a palindrome (5243740473425).

The spelling of 1023300440224 in words is "one trillion, twenty-three billion, three hundred million, four hundred forty thousand, two hundred twenty-four".