4402605312 has 360 divisors, whose sum is σ = 15334088000. Its totient is φ = 1255855104.

The previous prime is 4402605307. The next prime is 4402605331. The reversal of 4402605312 is 2135062044.

4402605312 is a `hidden beast` number, since 4 + 40 + 2 + 605 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7112139 + ... + 7112757.

Almost surely, 2^4402605312 is an apocalyptic number.

4402605312 is a gapful number since it is divisible by the number (42) 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 4402605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667044000).

4402605312 is an abundant number, since it is smaller than the sum of its proper divisors (10931482688).

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

4402605312 is an frugal number, since it uses more digits than its factorization.

4402605312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4402605312 is about 66352.1311790360. The cubic root of 4402605312 is about 1638.9658997420.

Adding to 4402605312 its reverse (2135062044), we get a palindrome (6537667356).

The spelling of 4402605312 in words is "four billion, four hundred two million, six hundred five thousand, three hundred twelve".