4269201316128 has 2016 divisors, whose sum is σ = 16910624586240. Its totient is φ = 1049692815360.

The previous prime is 4269201316099. The next prime is 4269201316139. The reversal of 4269201316128 is 8216131029624.

4269201316128 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 20 + 1 + 3 + 1 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 11445579750 + ... + 11445580122.

It is an arithmetic number, because the mean of its divisors is an integer number (8388206640).

Almost surely, 2^{4269201316128} is an apocalyptic number.

4269201316128 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 4269201316128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8455312293120).

4269201316128 is an abundant number, since it is smaller than the sum of its proper divisors (12641423270112).

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

4269201316128 is a wasteful number, since it uses less digits than its factorization.

4269201316128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4269201316128 in words is "four trillion, two hundred sixty-nine billion, two hundred one million, three hundred sixteen thousand, one hundred twenty-eight".