4259473344 has 224 divisors, whose sum is σ = 14363151360. Its totient is φ = 1212558336.

The previous prime is 4259473331. The next prime is 4259473357. The reversal of 4259473344 is 4433749524.

It is an interprime number because it is at equal distance from previous prime (4259473331) and next prime (4259473357).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4259473344² = 36286226336493084672, which contains 22 as substring.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (1296).

It is a self number, because there is not a number n which added to its sum of digits gives 4259473344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4801669 + ... + 4802555.

Almost surely, 2^4259473344 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 4259473344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181575680).

4259473344 is an abundant number, since it is smaller than the sum of its proper divisors (10103678016).

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

4259473344 is a wasteful number, since it uses less digits than its factorization.

4259473344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1296 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 4259473344 is about 65264.6408401977. The cubic root of 4259473344 is about 1621.0085352408.

The spelling of 4259473344 in words is "four billion, two hundred fifty-nine million, four hundred seventy-three thousand, three hundred forty-four".