4225660128000 has 432 divisors, whose sum is σ = 15216143525856. Its totient is φ = 1126028697600.

The previous prime is 4225660127999. The next prime is 4225660128013. The reversal of 4225660128000 is 8210665224.

It is a happy number.

4225660128000 is a `hidden beast` number, since 4 + 2 + 2 + 566 + 0 + 12 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471451519 + ... + 471460481.

It is an arithmetic number, because the mean of its divisors is an integer number (35222554458).

Almost surely, 2^{4225660128000} is an apocalyptic number.

4225660128000 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 4225660128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608071762928).

4225660128000 is an abundant number, since it is smaller than the sum of its proper divisors (10990483397856).

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

4225660128000 is a wasteful number, since it uses less digits than its factorization.

4225660128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 4225660128000 in words is "four trillion, two hundred twenty-five billion, six hundred sixty million, one hundred twenty-eight thousand".