4464111104 has 160 divisors (see below), whose sum is σ = 9852226560. Its totient is φ = 2012774400.

The previous prime is 4464111103. The next prime is 4464111139. The reversal of 4464111104 is 4011114644.

4464111104 = 509³ + 510³ + ... + 539³.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464111103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34077119 + ... + 34077249.

It is an arithmetic number, because the mean of its divisors is an integer number (61576416).

Almost surely, 2^4464111104 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 4464111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926113280).

4464111104 is an abundant number, since it is smaller than the sum of its proper divisors (5388115456).

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

4464111104 is a wasteful number, since it uses less digits than its factorization.

4464111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 4464111104 is about 66814.0038015984. The cubic root of 4464111104 is about 1646.5629222850.

Adding to 4464111104 its reverse (4011114644), we get a palindrome (8475225748).

The spelling of 4464111104 in words is "four billion, four hundred sixty-four million, one hundred eleven thousand, one hundred four".