4034020011200 has 336 divisors, whose sum is σ = 10483251600384. Its totient is φ = 1524836966400.

The previous prime is 4034020011187. The next prime is 4034020011239. The reversal of 4034020011200 is 21100204304.

4034020011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1697104412 + ... + 1697106788.

Almost surely, 2^{4034020011200} is an apocalyptic number.

4034020011200 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 4034020011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241625800192).

4034020011200 is an abundant number, since it is smaller than the sum of its proper divisors (6449231589184).

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

4034020011200 is a wasteful number, since it uses less digits than its factorization.

4034020011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 4034020011200 its reverse (21100204304), we get a palindrome (4055120215504).

The spelling of 4034020011200 in words is "four trillion, thirty-four billion, twenty million, eleven thousand, two hundred".