4128089172456 has 128 divisors (see below), whose sum is σ = 10610033443200. Its totient is φ = 1337903723520.

The previous prime is 4128089172419. The next prime is 4128089172463. The reversal of 4128089172456 is 6542719808214.

It is a super-2 number, since 2×4128089172456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4128089172396 and 4128089172405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75660546 + ... + 75715086.

It is an arithmetic number, because the mean of its divisors is an integer number (82890886275).

Almost surely, 2^{4128089172456} 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 4128089172456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305016721600).

4128089172456 is an abundant number, since it is smaller than the sum of its proper divisors (6481944270744).

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

4128089172456 is a wasteful number, since it uses less digits than its factorization.

4128089172456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55139 (or 55135 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 4128089172456 in words is "four trillion, one hundred twenty-eight billion, eighty-nine million, one hundred seventy-two thousand, four hundred fifty-six".