4099667045760 has 768 divisors, whose sum is σ = 16762989035520. Its totient is φ = 910161100800.

The previous prime is 4099667045723. The next prime is 4099667045777. The reversal of 4099667045760 is 675407669904.

4099667045760 is a `hidden beast` number, since 409 + 9 + 66 + 70 + 45 + 7 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104587765 + ... + 104626955.

It is an arithmetic number, because the mean of its divisors is an integer number (21826808640).

Almost surely, 2^{4099667045760} is an apocalyptic number.

4099667045760 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 4099667045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8381494517760).

4099667045760 is an abundant number, since it is smaller than the sum of its proper divisors (12663321989760).

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

4099667045760 is a wasteful number, since it uses less digits than its factorization.

4099667045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39367 (or 39352 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 4099667045760 in words is "four trillion, ninety-nine billion, six hundred sixty-seven million, forty-five thousand, seven hundred sixty".