4258438456944 has 320 divisors, whose sum is σ = 13503940263936. Its totient is φ = 1130054188032.

The previous prime is 4258438456931. The next prime is 4258438456949. The reversal of 4258438456944 is 4496548348524.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4258438456949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46082274 + ... + 46174590.

Almost surely, 2^{4258438456944} 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 4258438456944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751970131968).

4258438456944 is an abundant number, since it is smaller than the sum of its proper divisors (9245501806992).

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

4258438456944 is a wasteful number, since it uses less digits than its factorization.

4258438456944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92532 (or 92526 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 66.

The spelling of 4258438456944 in words is "four trillion, two hundred fifty-eight billion, four hundred thirty-eight million, four hundred fifty-six thousand, nine hundred forty-four".