1004408675424 has 1200 divisors, whose sum is σ = 3928589280000. Its totient is φ = 245912578560.

The previous prime is 1004408675323. The next prime is 1004408675447. The reversal of 1004408675424 is 4245768044001.

1004408675424 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 40 + 8 + 67 + 542 + 4 = 666.

1004408675424 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 self number, because there is not a number n which added to its sum of digits gives 1004408675424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 5047279677 + ... + 5047279875.

It is an arithmetic number, because the mean of its divisors is an integer number (3273824400).

Almost surely, 2^{1004408675424} is an apocalyptic number.

1004408675424 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 1004408675424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964294640000).

1004408675424 is an abundant number, since it is smaller than the sum of its proper divisors (2924180604576).

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

1004408675424 is an equidigital number, since it uses as much as digits as its factorization.

1004408675424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 1004408675424 in words is "one trillion, four billion, four hundred eight million, six hundred seventy-five thousand, four hundred twenty-four".