1004335406304 has 96 divisors (see below), whose sum is σ = 2850854662656. Its totient is φ = 308381644800.

The previous prime is 1004335406303. The next prime is 1004335406341. The reversal of 1004335406304 is 4036045334001.

1004335406304 is digitally balanced in base 2, because in such base 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004335406303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6470122 + ... + 6623529.

It is an arithmetic number, because the mean of its divisors is an integer number (29696402736).

Almost surely, 2^{1004335406304} is an apocalyptic number.

It is an amenable number.

1004335406304 is an abundant number, since it is smaller than the sum of its proper divisors (1846519256352).

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

1004335406304 is a wasteful number, since it uses less digits than its factorization.

1004335406304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13093728 (or 13093720 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 1004335406304 in words is "one trillion, four billion, three hundred thirty-five million, four hundred six thousand, three hundred four".