4412400320 has 224 divisors, whose sum is σ = 11595177216. Its totient is φ = 1592524800.

The previous prime is 4412400313. The next prime is 4412400341. The reversal of 4412400320 is 230042144.

It is a super-2 number, since 2×4412400320² = 38938553167872204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4412400292 and 4412400301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16281785 + ... + 16282055.

It is an arithmetic number, because the mean of its divisors is an integer number (51764184).

Almost surely, 2^4412400320 is an apocalyptic number.

4412400320 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 4412400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797588608).

4412400320 is an abundant number, since it is smaller than the sum of its proper divisors (7182776896).

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

4412400320 is a wasteful number, since it uses less digits than its factorization.

4412400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4412400320 is about 66425.9009724369. The cubic root of 4412400320 is about 1640.1804679452.

Adding to 4412400320 its reverse (230042144), we get a palindrome (4642442464).

The spelling of 4412400320 in words is "four billion, four hundred twelve million, four hundred thousand, three hundred twenty".