4128799395840 has 1872 divisors, whose sum is σ = 16906090322880. Its totient is φ = 856636784640.

The previous prime is 4128799395769. The next prime is 4128799395871. The reversal of 4128799395840 is 485939978214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31517552575 + ... + 31517552705.

Almost surely, 2^{4128799395840} is an apocalyptic number.

4128799395840 is a gapful number since it is divisible by the number (40) 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 4128799395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453045161440).

4128799395840 is an abundant number, since it is smaller than the sum of its proper divisors (12777290927040).

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

4128799395840 is a wasteful number, since it uses less digits than its factorization.

4128799395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 4128799395840 in words is "four trillion, one hundred twenty-eight billion, seven hundred ninety-nine million, three hundred ninety-five thousand, eight hundred forty".