4194106345728 has 1296 divisors, whose sum is σ = 14861582701056. Its totient is φ = 1173850030080.

The previous prime is 4194106345717. The next prime is 4194106345739. The reversal of 4194106345728 is 8275436014914.

4194106345728 is a `hidden beast` number, since 4 + 1 + 9 + 4 + 1 + 0 + 63 + 4 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4194106345717) and next prime (4194106345739).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×4194106345728³ (a number of 39 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5540430726 + ... + 5540431482.

It is a 1-persistent number, because it is pandigital, but 2⋅4194106345728 = 8388212691456 is not.

Almost surely, 2^{4194106345728} is an apocalyptic number.

4194106345728 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 4194106345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430791350528).

4194106345728 is an abundant number, since it is smaller than the sum of its proper divisors (10667476355328).

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

4194106345728 is a wasteful number, since it uses less digits than its factorization.

4194106345728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 823 counting only the distinct ones).

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

The spelling of 4194106345728 in words is "four trillion, one hundred ninety-four billion, one hundred six million, three hundred forty-five thousand, seven hundred twenty-eight".