4112131144000 has 224 divisors, whose sum is σ = 11345866421760. Its totient is φ = 1463503616000.

The previous prime is 4112131143983. The next prime is 4112131144003. The reversal of 4112131144000 is 4411312114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112131144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3638886 + ... + 4633114.

Almost surely, 2^{4112131144000} is an apocalyptic number.

4112131144000 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 4112131144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672933210880).

4112131144000 is an abundant number, since it is smaller than the sum of its proper divisors (7233735277760).

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

4112131144000 is a wasteful number, since it uses less digits than its factorization.

4112131144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994314 (or 994294 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 4112131144000 its reverse (4411312114), we get a palindrome (4116542456114).

The spelling of 4112131144000 in words is "four trillion, one hundred twelve billion, one hundred thirty-one million, one hundred forty-four thousand".