4328538825600 has 768 divisors, whose sum is σ = 17346630816000. Its totient is φ = 1045380096000.

The previous prime is 4328538825571. The next prime is 4328538825629. The reversal of 4328538825600 is 65288358234.

It is a happy number.

4328538825600 is a `hidden beast` number, since 4 + 3 + 2 + 8 + 5 + 3 + 8 + 8 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4328538825571) and next prime (4328538825629).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 255649135 + ... + 255666065.

It is an arithmetic number, because the mean of its divisors is an integer number (22586758875).

Almost surely, 2^{4328538825600} is an apocalyptic number.

4328538825600 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 4328538825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673315408000).

4328538825600 is an abundant number, since it is smaller than the sum of its proper divisors (13018091990400).

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

4328538825600 is a wasteful number, since it uses less digits than its factorization.

4328538825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17244 (or 17221 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 4328538825600 in words is "four trillion, three hundred twenty-eight billion, five hundred thirty-eight million, eight hundred twenty-five thousand, six hundred".