4128675183360 has 1440 divisors, whose sum is σ = 19252641969792. Its totient is φ = 819831767040.

The previous prime is 4128675183331. The next prime is 4128675183371. The reversal of 4128675183360 is 633815768214.

4128675183360 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 67 + 518 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 4128675183297 and 4128675183306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160380090 + ... + 160405830.

Almost surely, 2^{4128675183360} is an apocalyptic number.

4128675183360 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 4128675183360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626320984896).

4128675183360 is an abundant number, since it is smaller than the sum of its proper divisors (15123966786432).

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

4128675183360 is a wasteful number, since it uses less digits than its factorization.

4128675183360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25811 (or 25788 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4128675183360 in words is "four trillion, one hundred twenty-eight billion, six hundred seventy-five million, one hundred eighty-three thousand, three hundred sixty".