4240001133312 has 288 divisors, whose sum is σ = 13028556989952. Its totient is φ = 1199060385792.

The previous prime is 4240001133271. The next prime is 4240001133437. The reversal of 4240001133312 is 2133311000424.

It is a happy number.

4240001133312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4240001133312² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858818908 + ... + 858823844.

It is an arithmetic number, because the mean of its divisors is an integer number (45238045104).

Almost surely, 2^{4240001133312} is an apocalyptic number.

4240001133312 is a gapful number since it is divisible by the number (42) 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 4240001133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514278494976).

4240001133312 is an abundant number, since it is smaller than the sum of its proper divisors (8788555856640).

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

4240001133312 is a wasteful number, since it uses less digits than its factorization.

4240001133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4240001133312 its reverse (2133311000424), we get a palindrome (6373312133736).

The spelling of 4240001133312 in words is "four trillion, two hundred forty billion, one million, one hundred thirty-three thousand, three hundred twelve".