4288559109120 has 1408 divisors, whose sum is σ = 17983064655360. Its totient is φ = 955514880000.

The previous prime is 4288559109103. The next prime is 4288559109127. The reversal of 4288559109120 is 219019558824.

4288559109120 is a `hidden beast` number, since 4 + 2 + 88 + 559 + 1 + 0 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×4288559109120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288559109127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7927096050 + ... + 7927096590.

Almost surely, 2^{4288559109120} is an apocalyptic number.

4288559109120 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 4288559109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8991532327680).

4288559109120 is an abundant number, since it is smaller than the sum of its proper divisors (13694505546240).

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

4288559109120 is a wasteful number, since it uses less digits than its factorization.

4288559109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 4288559109120 in words is "four trillion, two hundred eighty-eight billion, five hundred fifty-nine million, one hundred nine thousand, one hundred twenty".