4400004441042 has 160 divisors (see below), whose sum is σ = 11301463160064. Its totient is φ = 1253385446400.

The previous prime is 4400004441031. The next prime is 4400004441149. The reversal of 4400004441042 is 2401444000044.

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

It is a junction number, because it is equal to n+sod(n) for n = 4400004440997 and 4400004441015.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1198582867 + ... + 1198586537.

Almost surely, 2^{4400004441042} is an apocalyptic number.

4400004441042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400004441042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650731580032).

4400004441042 is an abundant number, since it is smaller than the sum of its proper divisors (6901458719022).

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

4400004441042 is a wasteful number, since it uses less digits than its factorization.

4400004441042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6566 (or 6557 counting only the distinct ones).

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

Adding to 4400004441042 its reverse (2401444000044), we get a palindrome (6801448441086).

The spelling of 4400004441042 in words is "four trillion, four hundred billion, four million, four hundred forty-one thousand, forty-two".