4247258527424 has 168 divisors, whose sum is σ = 9756551043120. Its totient is φ = 1828031293440.

The previous prime is 4247258527409. The next prime is 4247258527427.

4247258527424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4247258527424.

It is not an unprimeable number, because it can be changed into a prime (4247258527427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343262102 + ... + 343274474.

It is an arithmetic number, because the mean of its divisors is an integer number (58074708590).

Almost surely, 2^{4247258527424} is an apocalyptic number.

4247258527424 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 4247258527424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878275521560).

4247258527424 is an abundant number, since it is smaller than the sum of its proper divisors (5509292515696).

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

4247258527424 is a wasteful number, since it uses less digits than its factorization.

4247258527424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14759 (or 14738 counting only the distinct ones).

The product of its digits is 40140800, while the sum is 56.

The spelling of 4247258527424 in words is "four trillion, two hundred forty-seven billion, two hundred fifty-eight million, five hundred twenty-seven thousand, four hundred twenty-four".