1004904478128 has 160 divisors (see below), whose sum is σ = 2719531653120. Its totient is φ = 319375964160.

The previous prime is 1004904478117. The next prime is 1004904478133. The reversal of 1004904478128 is 8218744094001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37464850 + ... + 37491662.

It is an arithmetic number, because the mean of its divisors is an integer number (16997072832).

Almost surely, 2^{1004904478128} 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 1004904478128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359765826560).

1004904478128 is an abundant number, since it is smaller than the sum of its proper divisors (1714627174992).

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

1004904478128 is a wasteful number, since it uses less digits than its factorization.

1004904478128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27227 (or 27221 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 1004904478128 in words is "one trillion, four billion, nine hundred four million, four hundred seventy-eight thousand, one hundred twenty-eight".