4004209141600 has 144 divisors (see below), whose sum is σ = 10038213919440. Its totient is φ = 1558792396800.

The previous prime is 4004209141549. The next prime is 4004209141619. The reversal of 4004209141600 is 61419024004.

4004209141600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13265959 + ... + 13564441.

It is an arithmetic number, because the mean of its divisors is an integer number (69709818885).

Almost surely, 2^{4004209141600} is an apocalyptic number.

4004209141600 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 4004209141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019106959720).

4004209141600 is an abundant number, since it is smaller than the sum of its proper divisors (6034004777840).

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

4004209141600 is a wasteful number, since it uses less digits than its factorization.

4004209141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298953 (or 298940 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 4004209141600 in words is "four trillion, four billion, two hundred nine million, one hundred forty-one thousand, six hundred".