4245665424 has 480 divisors, whose sum is σ = 15404847360. Its totient is φ = 979292160.

The previous prime is 4245665399. The next prime is 4245665441.

4245665424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15327174 + ... + 15327450.

It is an arithmetic number, because the mean of its divisors is an integer number (32093432).

Almost surely, 2^4245665424 is an apocalyptic number.

4245665424 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 4245665424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702423680).

4245665424 is an abundant number, since it is smaller than the sum of its proper divisors (11159181936).

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

4245665424 is a wasteful number, since it uses less digits than its factorization.

4245665424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The square root of 4245665424 is about 65158.7708908018. The cubic root of 4245665424 is about 1619.2550331799.

It can be divided in two parts, 42456 and 65424, that added together give a triangular number (107880 = T₄₆₄).

The spelling of 4245665424 in words is "four billion, two hundred forty-five million, six hundred sixty-five thousand, four hundred twenty-four".