4004004440412 has 24 divisors (see below), whose sum is σ = 10380752253200. Its totient is φ = 1334668146768.

The previous prime is 4004004440411. The next prime is 4004004440459. The reversal of 4004004440412 is 2140444004004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004004440411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18537057487 + ... + 18537057702.

Almost surely, 2^{4004004440412} is an apocalyptic number.

It is an amenable number.

4004004440412 is an abundant number, since it is smaller than the sum of its proper divisors (6376747812788).

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

4004004440412 is a wasteful number, since it uses less digits than its factorization.

4004004440412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37074115202 (or 37074115194 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4004004440412 its reverse (2140444004004), we get a palindrome (6144448444416).

The spelling of 4004004440412 in words is "four trillion, four billion, four million, four hundred forty thousand, four hundred twelve".