4209364105128 has 480 divisors, whose sum is σ = 14735376437760. Its totient is φ = 1099150041600.

The previous prime is 4209364105127. The next prime is 4209364105147. The reversal of 4209364105128 is 8215014639024.

4209364105128 is a `hidden beast` number, since 4 + 2 + 0 + 93 + 6 + 41 + 0 + 512 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4209364105127) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 77397801 + ... + 77452167.

It is an arithmetic number, because the mean of its divisors is an integer number (30698700912).

Almost surely, 2^{4209364105128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4209364105128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367688218880).

4209364105128 is an abundant number, since it is smaller than the sum of its proper divisors (10526012332632).

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

4209364105128 is a wasteful number, since it uses less digits than its factorization.

4209364105128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54519 (or 54493 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4209364105128 in words is "four trillion, two hundred nine billion, three hundred sixty-four million, one hundred five thousand, one hundred twenty-eight".