4004033760000 has 540 divisors, whose sum is σ = 14778227984520. Its totient is φ = 1041684480000.

The previous prime is 4004033759977. The next prime is 4004033760079. The reversal of 4004033760000 is 673304004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59006091 + ... + 59073909.

Almost surely, 2^{4004033760000} is an apocalyptic number.

4004033760000 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 4004033760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389113992260).

4004033760000 is an abundant number, since it is smaller than the sum of its proper divisors (10774194224520).

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

4004033760000 is an equidigital number, since it uses as much as digits as its factorization.

4004033760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67902 (or 67870 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 4004033760000 in words is "four trillion, four billion, thirty-three million, seven hundred sixty thousand".