4128396346368 has 1056 divisors, whose sum is σ = 15110647179264. Its totient is φ = 1098937663488.

The previous prime is 4128396346367. The next prime is 4128396346379. The reversal of 4128396346368 is 8636436938214.

4128396346368 is a `hidden beast` number, since 4 + 1 + 2 + 83 + 96 + 3 + 463 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4128396346367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3168377205 + ... + 3168378507.

Almost surely, 2^{4128396346368} is an apocalyptic number.

4128396346368 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 4128396346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555323589632).

4128396346368 is an abundant number, since it is smaller than the sum of its proper divisors (10982250832896).

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

4128396346368 is a wasteful number, since it uses less digits than its factorization.

4128396346368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1439 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 4128396346368 in words is "four trillion, one hundred twenty-eight billion, three hundred ninety-six million, three hundred forty-six thousand, three hundred sixty-eight".