1004204414928 has 320 divisors, whose sum is σ = 3130427139840. Its totient is φ = 273310924800.

The previous prime is 1004204414909. The next prime is 1004204414933. The reversal of 1004204414928 is 8294144024001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109469350 + ... + 109478522.

It is an arithmetic number, because the mean of its divisors is an integer number (9782584812).

Almost surely, 2^{1004204414928} 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 1004204414928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565213569920).

1004204414928 is an abundant number, since it is smaller than the sum of its proper divisors (2126222724912).

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

1004204414928 is a wasteful number, since it uses less digits than its factorization.

1004204414928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638 (or 9632 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

Adding to 1004204414928 its reverse (8294144024001), we get a palindrome (9298348438929).

The spelling of 1004204414928 in words is "one trillion, four billion, two hundred four million, four hundred fourteen thousand, nine hundred twenty-eight".