4112234400 has 432 divisors, whose sum is σ = 14515320960. Its totient is φ = 1010380800.

The previous prime is 4112234369. The next prime is 4112234417. The reversal of 4112234400 is 44322114.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52053561 + ... + 52053639.

It is an arithmetic number, because the mean of its divisors is an integer number (33600280).

Almost surely, 2^4112234400 is an apocalyptic number.

4112234400 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 4112234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257660480).

4112234400 is an abundant number, since it is smaller than the sum of its proper divisors (10403086560).

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

4112234400 is a wasteful number, since it uses less digits than its factorization.

4112234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4112234400 is about 64126.7058252644. The cubic root of 4112234400 is about 1602.1110675627. Note that the first 3 decimals are identical.

Adding to 4112234400 its reverse (44322114), we get a palindrome (4156556514).

The spelling of 4112234400 in words is "four billion, one hundred twelve million, two hundred thirty-four thousand, four hundred".