4009938435360 has 576 divisors, whose sum is σ = 16232373271296. Its totient is φ = 888612249600.

The previous prime is 4009938435341. The next prime is 4009938435367. The reversal of 4009938435360 is 635348399004.

4009938435360 is a `hidden beast` number, since 400 + 9 + 93 + 8 + 43 + 53 + 60 = 666.

4009938435360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4009938435297 and 4009938435306.

It is not an unprimeable number, because it can be changed into a prime (4009938435367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21115230 + ... + 21304290.

It is an arithmetic number, because the mean of its divisors is an integer number (28181203596).

Almost surely, 2^{4009938435360} is an apocalyptic number.

4009938435360 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 4009938435360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116186635648).

4009938435360 is an abundant number, since it is smaller than the sum of its proper divisors (12222434835936).

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

4009938435360 is a wasteful number, since it uses less digits than its factorization.

4009938435360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189209 (or 189198 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 4009938435360 in words is "four trillion, nine billion, nine hundred thirty-eight million, four hundred thirty-five thousand, three hundred sixty".