4112400384 has 135 divisors (see below), whose sum is σ = 11951468347. Its totient is φ = 1362591744.

The previous prime is 4112400349. The next prime is 4112400401. The reversal of 4112400384 is 4830042114.

The square root of 4112400384 is 64128.

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

4112400384 is a `hidden beast` number, since 41 + 1 + 240 + 0 + 384 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24625069 + ... + 24625235.

Almost surely, 2^4112400384 is an apocalyptic number.

4112400384 is the 64128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112400384

4112400384 is an abundant number, since it is smaller than the sum of its proper divisors (7839067963).

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

4112400384 is an frugal number, since it uses more digits than its factorization.

4112400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 4112400384 is about 1602.1326228536.

Adding to 4112400384 its reverse (4830042114), we get a palindrome (8942442498).

It can be divided in two parts, 4112400 and 384, that added together give a square (4112784 = 2028²).

The spelling of 4112400384 in words is "four billion, one hundred twelve million, four hundred thousand, three hundred eighty-four".