4042004924448 has 144 divisors (see below), whose sum is σ = 11515480966080. Its totient is φ = 1344872314368.

The previous prime is 4042004924423. The next prime is 4042004924501. The reversal of 4042004924448 is 8444294002404.

4042004924448 is a `hidden beast` number, since 40 + 42 + 0 + 0 + 492 + 44 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419769298 + ... + 419778926.

It is an arithmetic number, because the mean of its divisors is an integer number (79968617820).

Almost surely, 2^{4042004924448} is an apocalyptic number.

4042004924448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4042004924448 is an abundant number, since it is smaller than the sum of its proper divisors (7473476041632).

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

4042004924448 is a wasteful number, since it uses less digits than its factorization.

4042004924448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12159 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 4042004924448 in words is "four trillion, forty-two billion, four million, nine hundred twenty-four thousand, four hundred forty-eight".