1004258939904 has 352 divisors, whose sum is σ = 3250748666880. Its totient is φ = 303735398400.

The previous prime is 1004258939903. The next prime is 1004258939917. The reversal of 1004258939904 is 4099398524001.

1004258939904 is a `hidden beast` number, since 10 + 0 + 42 + 589 + 3 + 9 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004258939903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173654197 + ... + 173659979.

It is an arithmetic number, because the mean of its divisors is an integer number (9235081440).

Almost surely, 2^{1004258939904} 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 1004258939904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625374333440).

1004258939904 is an abundant number, since it is smaller than the sum of its proper divisors (2246489726976).

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

1004258939904 is a wasteful number, since it uses less digits than its factorization.

1004258939904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1004258939904 in words is "one trillion, four billion, two hundred fifty-eight million, nine hundred thirty-nine thousand, nine hundred four".