4251424320 has 1120 divisors, whose sum is σ = 18835762176. Its totient is φ = 895795200.

The previous prime is 4251424313. The next prime is 4251424327. The reversal of 4251424320 is 234241524.

It is an interprime number because it is at equal distance from previous prime (4251424313) and next prime (4251424327).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4251424327) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 114903342 + ... + 114903378.

Almost surely, 2^4251424320 is an apocalyptic number.

4251424320 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 4251424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9417881088).

4251424320 is an abundant number, since it is smaller than the sum of its proper divisors (14584337856).

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

4251424320 is a wasteful number, since it uses less digits than its factorization.

4251424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4251424320 is about 65202.9471726547. The cubic root of 4251424320 is about 1619.9868311687.

Adding to 4251424320 its reverse (234241524), we get a palindrome (4485665844).

The spelling of 4251424320 in words is "four billion, two hundred fifty-one million, four hundred twenty-four thousand, three hundred twenty".