4328096640 has 512 divisors, whose sum is σ = 17590348800. Its totient is φ = 881197056.

The previous prime is 4328096593. The next prime is 4328096671. The reversal of 4328096640 is 466908234.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4328096592 and 4328096601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4340622 + ... + 4341618.

It is an arithmetic number, because the mean of its divisors is an integer number (34356150).

Almost surely, 2^4328096640 is an apocalyptic number.

4328096640 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 4328096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795174400).

4328096640 is an abundant number, since it is smaller than the sum of its proper divisors (13262252160).

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

4328096640 is a wasteful number, since it uses less digits than its factorization.

4328096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4328096640 is about 65788.2712951176. The cubic root of 4328096640 is about 1629.6674193175.

The spelling of 4328096640 in words is "four billion, three hundred twenty-eight million, ninety-six thousand, six hundred forty".