4004080004880 has 200 divisors, whose sum is σ = 13960880779032. Its totient is φ = 1063599538176.

The previous prime is 4004080004863. The next prime is 4004080004893. The reversal of 4004080004880 is 884000804004.

It can be written as a sum of positive squares in 4 ways, for example, as 2609026101504 + 1395053903376 = 1615248^2 + 1181124^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 463194 + ... + 2867526.

Almost surely, 2^{4004080004880} is an apocalyptic number.

4004080004880 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 4004080004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980440389516).

4004080004880 is an abundant number, since it is smaller than the sum of its proper divisors (9956800774152).

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

4004080004880 is a wasteful number, since it uses less digits than its factorization.

4004080004880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404615 (or 2404600 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 4004080004880 its reverse (884000804004), we get a palindrome (4888080808884).

The spelling of 4004080004880 in words is "four trillion, four billion, eighty million, four thousand, eight hundred eighty".