4001044341312 has 70 divisors (see below), whose sum is σ = 11860348856598. Its totient is φ = 1333681445376.

The previous prime is 4001044341293. The next prime is 4001044341323. The reversal of 4001044341312 is 2131434401004.

4001044341312 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 0 + 4 + 4 + 341 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3975334142976 + 25710198336 = 1993824^2 + 160344^2 .

It is a super-2 number, since 2×4001044341312² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 385898013 + ... + 385908380.

Almost surely, 2^{4001044341312} is an apocalyptic number.

It is an amenable number.

4001044341312 is an abundant number, since it is smaller than the sum of its proper divisors (7859304515286).

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

4001044341312 is an equidigital number, since it uses as much as digits as its factorization.

4001044341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771806417 (or 771806398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4001044341312 its reverse (2131434401004), we get a palindrome (6132478742316).

The spelling of 4001044341312 in words is "four trillion, one billion, forty-four million, three hundred forty-one thousand, three hundred twelve".