4412234411200 has 252 divisors, whose sum is σ = 13638366612976. Its totient is φ = 1375241472000.

The previous prime is 4412234411161. The next prime is 4412234411243. The reversal of 4412234411200 is 21144322144.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 272691 + ... + 2983090.

Almost surely, 2^{4412234411200} is an apocalyptic number.

4412234411200 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 4412234411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819183306488).

4412234411200 is an abundant number, since it is smaller than the sum of its proper divisors (9226132201776).

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

4412234411200 is a wasteful number, since it uses less digits than its factorization.

4412234411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255832 (or 3255806 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4412234411200 its reverse (21144322144), we get a palindrome (4433378733344).

The spelling of 4412234411200 in words is "four trillion, four hundred twelve billion, two hundred thirty-four million, four hundred eleven thousand, two hundred".