4099275906336 has 768 divisors, whose sum is σ = 13924466196480. Its totient is φ = 1162906398720.

The previous prime is 4099275906317. The next prime is 4099275906337. The reversal of 4099275906336 is 6336095729904.

4099275906336 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 2 + 7 + 590 + 6 + 3 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (4099275906337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2346465015 + ... + 2346466761.

It is an arithmetic number, because the mean of its divisors is an integer number (18130815360).

Almost surely, 2^{4099275906336} is an apocalyptic number.

4099275906336 is a gapful number since it is divisible by the number (46) 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 4099275906336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962233098240).

4099275906336 is an abundant number, since it is smaller than the sum of its proper divisors (9825190290144).

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

4099275906336 is a wasteful number, since it uses less digits than its factorization.

4099275906336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 4099275906336 in words is "four trillion, ninety-nine billion, two hundred seventy-five million, nine hundred six thousand, three hundred thirty-six".