4412030400 has 504 divisors, whose sum is σ = 16914296880. Its totient is φ = 1086750720.

The previous prime is 4412030341. The next prime is 4412030401. The reversal of 4412030400 is 40302144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412030401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16401466 + ... + 16401734.

Almost surely, 2^4412030400 is an apocalyptic number.

4412030400 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 4412030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457148440).

4412030400 is an abundant number, since it is smaller than the sum of its proper divisors (12502266480).

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

4412030400 is a wasteful number, since it uses less digits than its factorization.

4412030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4412030400 is about 66423.1164580525. The cubic root of 4412030400 is about 1640.1346310257.

Adding to 4412030400 its reverse (40302144), we get a palindrome (4452332544).

The spelling of 4412030400 in words is "four billion, four hundred twelve million, thirty thousand, four hundred".