7023138400344 has 512 divisors, whose sum is σ = 21338188185600. Its totient is φ = 1904053132800.

The previous prime is 7023138400337. The next prime is 7023138400451. The reversal of 7023138400344 is 4430048313207.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6425560662 + ... + 6425561754.

It is an arithmetic number, because the mean of its divisors is an integer number (41676148800).

Almost surely, 2^{7023138400344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7023138400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10669094092800).

7023138400344 is an abundant number, since it is smaller than the sum of its proper divisors (14315049785256).

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

7023138400344 is a wasteful number, since it uses less digits than its factorization.

7023138400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 7023138400344 in words is "seven trillion, twenty-three billion, one hundred thirty-eight million, four hundred thousand, three hundred forty-four".