4288323325440 has 1440 divisors, whose sum is σ = 17964398767392. Its totient is φ = 868968038400.

The previous prime is 4288323325423. The next prime is 4288323325441. The reversal of 4288323325440 is 445233238824.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4288323325440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288323325441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1866922372 + ... + 1866924668.

Almost surely, 2^{4288323325440} is an apocalyptic number.

4288323325440 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 4288323325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8982199383696).

4288323325440 is an abundant number, since it is smaller than the sum of its proper divisors (13676075441952).

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

4288323325440 is a wasteful number, since it uses less digits than its factorization.

4288323325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 4288323325440 in words is "four trillion, two hundred eighty-eight billion, three hundred twenty-three million, three hundred twenty-five thousand, four hundred forty".