4412400000 has 192 divisors, whose sum is σ = 14653593360. Its totient is φ = 1176320000.

The previous prime is 4412399993. The next prime is 4412400007. The reversal of 4412400000 is 42144.

It is an interprime number because it is at equal distance from previous prime (4412399993) and next prime (4412400007).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412400007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198162 + ... + 1201838.

Almost surely, 2^4412400000 is an apocalyptic number.

4412400000 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 4412400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326796680).

4412400000 is an abundant number, since it is smaller than the sum of its proper divisors (10241193360).

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

4412400000 is an frugal number, since it uses more digits than its factorization.

4412400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4412400000 is about 66425.8985637379. The cubic root of 4412400000 is about 1640.1804282950.

Adding to 4412400000 its reverse (42144), we get a palindrome (4412442144).

The spelling of 4412400000 in words is "four billion, four hundred twelve million, four hundred thousand".