4245316135424 has 320 divisors, whose sum is σ = 10582587671040. Its totient is φ = 1656623923200.

The previous prime is 4245316135393. The next prime is 4245316135429.

4245316135424 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4245316135429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378795517 + ... + 1378798595.

It is an arithmetic number, because the mean of its divisors is an integer number (33070586472).

Almost surely, 2^{4245316135424} 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 4245316135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291293835520).

4245316135424 is an abundant number, since it is smaller than the sum of its proper divisors (6337271535616).

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

4245316135424 is a wasteful number, since it uses less digits than its factorization.

4245316135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3495 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 44.

The spelling of 4245316135424 in words is "four trillion, two hundred forty-five billion, three hundred sixteen million, one hundred thirty-five thousand, four hundred twenty-four".