4099455360 has 1280 divisors, whose sum is σ = 19905177600. Its totient is φ = 776355840.

The previous prime is 4099455343. The next prime is 4099455377. The reversal of 4099455360 is 635549904.

4099455360 is a `hidden beast` number, since 4 + 0 + 9 + 94 + 553 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4099455343) and next prime (4099455377).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51891801 + ... + 51891879.

It is an arithmetic number, because the mean of its divisors is an integer number (15550920).

Almost surely, 2^4099455360 is an apocalyptic number.

4099455360 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 4099455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952588800).

4099455360 is an abundant number, since it is smaller than the sum of its proper divisors (15805722240).

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

4099455360 is a wasteful number, since it uses less digits than its factorization.

4099455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 4099455360 is about 64026.9893091968. The cubic root of 4099455360 is about 1600.4497902103.

The spelling of 4099455360 in words is "four billion, ninety-nine million, four hundred fifty-five thousand, three hundred sixty".