34444442641004 has 12 divisors (see below), whose sum is σ = 65757572314728. Its totient is φ = 15656564836800.

The previous prime is 34444442641001. The next prime is 34444442641009. The reversal of 34444442641004 is 40014624444443.

It is a super-2 number, since 2×34444442641004² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44), and also a Moran number because the ratio is a prime number: 782828241841 = 34444442641004 / (3 + 4 + 4 + 4 + 4 + 4 + 4 + 2 + 6 + 4 + 1 + 0 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (34444442641001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 391414120877 + ... + 391414120964.

It is an arithmetic number, because the mean of its divisors is an integer number (5479797692894).

Almost surely, 2^{34444442641004} is an apocalyptic number.

It is an amenable number.

34444442641004 is a deficient number, since it is larger than the sum of its proper divisors (31313129673724).

34444442641004 is a wasteful number, since it uses less digits than its factorization.

34444442641004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782828241856 (or 782828241854 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 44.

The spelling of 34444442641004 in words is "thirty-four trillion, four hundred forty-four billion, four hundred forty-two million, six hundred forty-one thousand, four".