4312041142200 has 384 divisors, whose sum is σ = 15367936032000. Its totient is φ = 989170790400.

The previous prime is 4312041142169. The next prime is 4312041142237. The reversal of 4312041142200 is 22411402134.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109956196 + ... + 109995404.

It is an arithmetic number, because the mean of its divisors is an integer number (40020666750).

Almost surely, 2^{4312041142200} is an apocalyptic number.

4312041142200 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 4312041142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683968016000).

4312041142200 is an abundant number, since it is smaller than the sum of its proper divisors (11055894889800).

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

4312041142200 is a wasteful number, since it uses less digits than its factorization.

4312041142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40135 (or 40126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4312041142200 its reverse (22411402134), we get a palindrome (4334452544334).

The spelling of 4312041142200 in words is "four trillion, three hundred twelve billion, forty-one million, one hundred forty-two thousand, two hundred".