1004424328320 has 192 divisors, whose sum is σ = 3724313515200. Its totient is φ = 229582682112.

The previous prime is 1004424328253. The next prime is 1004424328321. The reversal of 1004424328320 is 238234244001.

1004424328320 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 tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1004424328321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5244060 + ... + 5432219.

It is an arithmetic number, because the mean of its divisors is an integer number (19397466225).

Almost surely, 2^{1004424328320} is an apocalyptic number.

1004424328320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004424328320 is an abundant number, since it is smaller than the sum of its proper divisors (2719889186880).

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

1004424328320 is a wasteful number, since it uses less digits than its factorization.

1004424328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676315 (or 10676296 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 1004424328320 in words is "one trillion, four billion, four hundred twenty-four million, three hundred twenty-eight thousand, three hundred twenty".