3123400305444 has 48 divisors (see below), whose sum is σ = 7716814515648. Its totient is φ = 979867629568.

The previous prime is 3123400305439. The next prime is 3123400305449. The reversal of 3123400305444 is 4445030043213.

3123400305444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3123400305439) and next prime (3123400305449).

It is not an unprimeable number, because it can be changed into a prime (3123400305449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10133227 + ... + 10436909.

It is an arithmetic number, because the mean of its divisors is an integer number (160766969076).

Almost surely, 2^{3123400305444} is an apocalyptic number.

3123400305444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3123400305444 is an abundant number, since it is smaller than the sum of its proper divisors (4593414210204).

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

3123400305444 is a wasteful number, since it uses less digits than its factorization.

3123400305444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354124 (or 354122 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 3123400305444 its reverse (4445030043213), we get a palindrome (7568430348657).

The spelling of 3123400305444 in words is "three trillion, one hundred twenty-three billion, four hundred million, three hundred five thousand, four hundred forty-four".