4464104400 has 420 divisors, whose sum is σ = 18385728992. Its totient is φ = 1020366720.

The previous prime is 4464104371. The next prime is 4464104413. The reversal of 4464104400 is 44014644.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 637729197 + ... + 637729203.

Almost surely, 2^4464104400 is an apocalyptic number.

4464104400 is a gapful number since it is divisible by the number (40) 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 4464104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192864496).

4464104400 is an abundant number, since it is smaller than the sum of its proper divisors (13921624592).

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

4464104400 is an frugal number, since it uses more digits than its factorization.

4464104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4464104400 is about 66813.9536324561. The cubic root of 4464104400 is about 1646.5620980401.

The spelling of 4464104400 in words is "four billion, four hundred sixty-four million, one hundred four thousand, four hundred".