4257306328704 has 384 divisors, whose sum is σ = 13476247344000. Its totient is φ = 1182837596160.

The previous prime is 4257306328687. The next prime is 4257306328729. The reversal of 4257306328704 is 4078236037524.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89977117 + ... + 90024419.

It is an arithmetic number, because the mean of its divisors is an integer number (35094394125).

Almost surely, 2^{4257306328704} is an apocalyptic number.

4257306328704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4257306328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738123672000).

4257306328704 is an abundant number, since it is smaller than the sum of its proper divisors (9218941015296).

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

4257306328704 is a wasteful number, since it uses less digits than its factorization.

4257306328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47504 (or 47481 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 4257306328704 in words is "four trillion, two hundred fifty-seven billion, three hundred six million, three hundred twenty-eight thousand, seven hundred four".