4034020000000 has 144 divisors (see below), whose sum is σ = 10065376771632. Its totient is φ = 1613600000000.

The previous prime is 4034019999923. The next prime is 4034020000009. The reversal of 4034020000000 is 204304.

It can be written as a sum of positive squares in 8 ways, for example, as 3970104070144 + 63915929856 = 1992512^2 + 252816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034020000009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19899150 + ... + 20100850.

It is an arithmetic number, because the mean of its divisors is an integer number (69898449803).

Almost surely, 2^{4034020000000} is an apocalyptic number.

4034020000000 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 4034020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032688385816).

4034020000000 is an abundant number, since it is smaller than the sum of its proper divisors (6031356771632).

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

4034020000000 is an frugal number, since it uses more digits than its factorization.

4034020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201752 (or 201708 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 4034020000000 its reverse (204304), we get a palindrome (4034020204304).

The spelling of 4034020000000 in words is "four trillion, thirty-four billion, twenty million", and thus it is an aban number.