4004000480000 has 360 divisors, whose sum is σ = 10593739693152. Its totient is φ = 1504681984000.

The previous prime is 4004000479987. The next prime is 4004000480021. The reversal of 4004000480000 is 840004004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2167839077 + ... + 2167840923.

Almost surely, 2^{4004000480000} is an apocalyptic number.

4004000480000 is a gapful number since it is divisible by the number (40) 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 4004000480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296869846576).

4004000480000 is an abundant number, since it is smaller than the sum of its proper divisors (6589739213152).

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

4004000480000 is an equidigital number, since it uses as much as digits as its factorization.

4004000480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4004000480000 its reverse (840004004), we get a palindrome (4004840484004).

The spelling of 4004000480000 in words is "four trillion, four billion, four hundred eighty thousand".