4284640807128 has 256 divisors, whose sum is σ = 13157068723200. Its totient is φ = 1297090454400.

The previous prime is 4284640807127. The next prime is 4284640807159. The reversal of 4284640807128 is 8217080464824.

It is a super-2 number, since 2×4284640807128² (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 (4284640807121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204185325 + ... + 204206307.

It is an arithmetic number, because the mean of its divisors is an integer number (51394799700).

Almost surely, 2^{4284640807128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4284640807128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578534361600).

4284640807128 is an abundant number, since it is smaller than the sum of its proper divisors (8872427916072).

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

4284640807128 is a wasteful number, since it uses less digits than its factorization.

4284640807128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22082 (or 22060 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 4284640807128 in words is "four trillion, two hundred eighty-four billion, six hundred forty million, eight hundred seven thousand, one hundred twenty-eight".