4099849600 has 288 divisors, whose sum is σ = 12857893560. Its totient is φ = 1277337600.

The previous prime is 4099849597. The next prime is 4099849681. The reversal of 4099849600 is 69489904.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1723612 + ... + 1725988.

Almost surely, 2^4099849600 is an apocalyptic number.

4099849600 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 4099849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428946780).

4099849600 is an abundant number, since it is smaller than the sum of its proper divisors (8758043960).

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

4099849600 is a wasteful number, since it uses less digits than its factorization.

4099849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 4099849600 is about 64030.0679368685. The cubic root of 4099849600 is about 1600.5010930497.

The spelling of 4099849600 in words is "four billion, ninety-nine million, eight hundred forty-nine thousand, six hundred".