2004128079408 has 2160 divisors, whose sum is σ = 8157068914176. Its totient is φ = 464648970240.

The previous prime is 2004128079383. The next prime is 2004128079413. The reversal of 2004128079408 is 8049708214002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 28227156013 + ... + 28227156083.

Almost surely, 2^{2004128079408} is an apocalyptic number.

2004128079408 is a gapful number since it is divisible by the number (28) 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 2004128079408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078534457088).

2004128079408 is an abundant number, since it is smaller than the sum of its proper divisors (6152940834768).

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

2004128079408 is a wasteful number, since it uses less digits than its factorization.

2004128079408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2004128079408 in words is "two trillion, four billion, one hundred twenty-eight million, seventy-nine thousand, four hundred eight".