4412730400 has 144 divisors (see below), whose sum is σ = 11718890568. Its totient is φ = 1612800000.

The previous prime is 4412730383. The next prime is 4412730463. The reversal of 4412730400 is 40372144.

It can be written as a sum of positive squares in 12 ways, for example, as 25522704 + 4387207696 = 5052^2 + 66236^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1048300 + ... + 1052500.

Almost surely, 2^4412730400 is an apocalyptic number.

4412730400 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 4412730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859445284).

4412730400 is an abundant number, since it is smaller than the sum of its proper divisors (7306160168).

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

4412730400 is a wasteful number, since it uses less digits than its factorization.

4412730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 4412730400 is about 66428.3854989717. The cubic root of 4412730400 is about 1640.2213661133.

The spelling of 4412730400 in words is "four billion, four hundred twelve million, seven hundred thirty thousand, four hundred".