4000312888128 has 252 divisors, whose sum is σ = 11836441556940. Its totient is φ = 1291674968064.

The previous prime is 4000312888123. The next prime is 4000312888133. The reversal of 4000312888128 is 8218882130004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4000312888123) and next prime (4000312888133).

It can be written as a sum of positive squares in 6 ways, for example, as 730696716864 + 3269616171264 = 854808^2 + 1808208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000312888123) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 180565500 + ... + 180587652.

Almost surely, 2^{4000312888128} is an apocalyptic number.

4000312888128 is a gapful number since it is divisible by the number (48) 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 4000312888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918220778470).

4000312888128 is an abundant number, since it is smaller than the sum of its proper divisors (7836128668812).

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

4000312888128 is a wasteful number, since it uses less digits than its factorization.

4000312888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22474 (or 22424 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 4000312888128 in words is "four trillion, three hundred twelve million, eight hundred eighty-eight thousand, one hundred twenty-eight".