4170406591728 has 240 divisors, whose sum is σ = 12635374096800. Its totient is φ = 1276458172416.

The previous prime is 4170406591727. The next prime is 4170406591751. The reversal of 4170406591728 is 8271956040714.

4170406591728 is a `hidden beast` number, since 4 + 1 + 7 + 0 + 40 + 6 + 591 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×4170406591728² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4170406591727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283250575 + ... + 283265297.

It is an arithmetic number, because the mean of its divisors is an integer number (52647392070).

Almost surely, 2^{4170406591728} is an apocalyptic number.

4170406591728 is a gapful number since it is divisible by the number (48) 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 4170406591728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317687048400).

4170406591728 is an abundant number, since it is smaller than the sum of its proper divisors (8464967505072).

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

4170406591728 is a wasteful number, since it uses less digits than its factorization.

4170406591728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15536 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 4170406591728 in words is "four trillion, one hundred seventy billion, four hundred six million, five hundred ninety-one thousand, seven hundred twenty-eight".