4191395104128 has 128 divisors (see below), whose sum is σ = 11823919021440. Its totient is φ = 1310974156800.

The previous prime is 4191395104093. The next prime is 4191395104133. The reversal of 4191395104128 is 8214015931914.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190883 + ... + 3130653.

It is an arithmetic number, because the mean of its divisors is an integer number (92374367355).

Almost surely, 2^{4191395104128} is an apocalyptic number.

4191395104128 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 4191395104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911959510720).

4191395104128 is an abundant number, since it is smaller than the sum of its proper divisors (7632523917312).

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

4191395104128 is a wasteful number, since it uses less digits than its factorization.

4191395104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940136 (or 1940124 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 4191395104128 in words is "four trillion, one hundred ninety-one billion, three hundred ninety-five million, one hundred four thousand, one hundred twenty-eight".