4012242234000 has 1920 divisors, whose sum is σ = 17795964985344. Its totient is φ = 750919680000.

The previous prime is 4012242233953. The next prime is 4012242234023. The reversal of 4012242234000 is 4322422104.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41363321952 + ... + 41363322048.

Almost surely, 2^{4012242234000} is an apocalyptic number.

4012242234000 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 4012242234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8897982492672).

4012242234000 is an abundant number, since it is smaller than the sum of its proper divisors (13783722751344).

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

4012242234000 is a wasteful number, since it uses less digits than its factorization.

4012242234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4012242234000 its reverse (4322422104), we get a palindrome (4016564656104).

The spelling of 4012242234000 in words is "four trillion, twelve billion, two hundred forty-two million, two hundred thirty-four thousand".