4085572838400 has 297 divisors, whose sum is σ = 14631758257753. Its totient is φ = 1089227366400.

The previous prime is 4085572838381. The next prime is 4085572838401. The reversal of 4085572838400 is 48382755804.

The square root of 4085572838400 is 2021280.

It is a perfect power (a square), and thus also a powerful number.

4085572838400 is a `hidden beast` number, since 4 + 0 + 8 + 557 + 2 + 8 + 3 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1470806221824 + 2614766616576 = 1212768^2 + 1617024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4085572838401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 970212295 + ... + 970216505.

Almost surely, 2^{4085572838400} is an apocalyptic number.

4085572838400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4085572838400 is the 2021280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085572838400

4085572838400 is an abundant number, since it is smaller than the sum of its proper divisors (10546185419353).

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

4085572838400 is an frugal number, since it uses more digits than its factorization.

4085572838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8458 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 4085572838400 in words is "four trillion, eighty-five billion, five hundred seventy-two million, eight hundred thirty-eight thousand, four hundred".