4288202409120 has 384 divisors, whose sum is σ = 15849321062400. Its totient is φ = 974141199360.

The previous prime is 4288202409109. The next prime is 4288202409121. The reversal of 4288202409120 is 219042028824.

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

It is not an unprimeable number, because it can be changed into a prime (4288202409121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26756425 + ... + 26916215.

It is an arithmetic number, because the mean of its divisors is an integer number (41274273600).

Almost surely, 2^{4288202409120} is an apocalyptic number.

4288202409120 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 4288202409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924660531200).

4288202409120 is an abundant number, since it is smaller than the sum of its proper divisors (11561118653280).

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

4288202409120 is a wasteful number, since it uses less digits than its factorization.

4288202409120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159993 (or 159971 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 4288202409120 in words is "four trillion, two hundred eighty-eight billion, two hundred two million, four hundred nine thousand, one hundred twenty".