4328889617920 has 640 divisors, whose sum is σ = 13491422208000. Its totient is φ = 1323278401536.

The previous prime is 4328889617911. The next prime is 4328889618007. The reversal of 4328889617920 is 297169888234.

It is a tau number, because it is divible by the number of its divisors (640).

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, 283612209 + ... + 283627471.

It is an arithmetic number, because the mean of its divisors is an integer number (21080347200).

Almost surely, 2^{4328889617920} is an apocalyptic number.

4328889617920 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 4328889617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745711104000).

4328889617920 is an abundant number, since it is smaller than the sum of its proper divisors (9162532590080).

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

4328889617920 is a wasteful number, since it uses less digits than its factorization.

4328889617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15343 (or 15313 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 67.

The spelling of 4328889617920 in words is "four trillion, three hundred twenty-eight billion, eight hundred eighty-nine million, six hundred seventeen thousand, nine hundred twenty".