2004400678896 has 720 divisors, whose sum is σ = 7780637150208. Its totient is φ = 474182553600.

The previous prime is 2004400678843. The next prime is 2004400678901. The reversal of 2004400678896 is 6988760044002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40879131 + ... + 40928133.

Almost surely, 2^{2004400678896} 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 2004400678896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890318575104).

2004400678896 is an abundant number, since it is smaller than the sum of its proper divisors (5776236471312).

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

2004400678896 is a wasteful number, since it uses less digits than its factorization.

2004400678896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49090 (or 49074 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2004400678896 in words is "two trillion, four billion, four hundred million, six hundred seventy-eight thousand, eight hundred ninety-six".