4145252320 has 96 divisors (see below), whose sum is σ = 10794028896. Its totient is φ = 1491763200.

The previous prime is 4145252299. The next prime is 4145252359. The reversal of 4145252320 is 232525414.

4145252320 = T₉ + T₁₀ + ... + T₂₉₁₈.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158580 + ... + 182860.

It is an arithmetic number, because the mean of its divisors is an integer number (112437801).

Almost surely, 2^4145252320 is an apocalyptic number.

4145252320 is a gapful number since it is divisible by the number (40) 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 4145252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397014448).

4145252320 is an abundant number, since it is smaller than the sum of its proper divisors (6648776576).

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

4145252320 is a wasteful number, since it uses less digits than its factorization.

4145252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24404 (or 24396 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 4145252320 is about 64383.6339452815. The cubic root of 4145252320 is about 1606.3875282427.

Adding to 4145252320 its reverse (232525414), we get a palindrome (4377777734).

The spelling of 4145252320 in words is "four billion, one hundred forty-five million, two hundred fifty-two thousand, three hundred twenty".