4099717440 has 336 divisors, whose sum is σ = 17356579968. Its totient is φ = 864940032.

The previous prime is 4099717417. The next prime is 4099717459. The reversal of 4099717440 is 447179904.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 254259 + ... + 269901.

It is an arithmetic number, because the mean of its divisors is an integer number (51656488).

Almost surely, 2^4099717440 is an apocalyptic number.

4099717440 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 4099717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678289984).

4099717440 is an abundant number, since it is smaller than the sum of its proper divisors (13256862528).

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

4099717440 is a wasteful number, since it uses less digits than its factorization.

4099717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15686 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4099717440 is about 64029.0359134042. The cubic root of 4099717440 is about 1600.4838953052.

The spelling of 4099717440 in words is "four billion, ninety-nine million, seven hundred seventeen thousand, four hundred forty".