4415997312 has 128 divisors (see below), whose sum is σ = 13279788000. Its totient is φ = 1444165632.

The previous prime is 4415997307. The next prime is 4415997317. The reversal of 4415997312 is 2137995144.

4415997312 is a `hidden beast` number, since 4 + 41 + 599 + 7 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (4415997307) and next prime (4415997317).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415997317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171114 + ... + 195222.

Almost surely, 2^4415997312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4415997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639894000).

4415997312 is an abundant number, since it is smaller than the sum of its proper divisors (8863790688).

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

4415997312 is a wasteful number, since it uses less digits than its factorization.

4415997312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24185 (or 24167 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 4415997312 is about 66452.9706785182. The cubic root of 4415997312 is about 1640.6260390002.

The spelling of 4415997312 in words is "four billion, four hundred fifteen million, nine hundred ninety-seven thousand, three hundred twelve".