4920099600 has 240 divisors, whose sum is σ = 17102724800. Its totient is φ = 1201858560.

The previous prime is 4920099599. The next prime is 4920099601. The reversal of 4920099600 is 69900294.

It is an interprime number because it is at equal distance from previous prime (4920099599) and next prime (4920099601).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4920099601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167266 + ... + 2169534.

Almost surely, 2^4920099600 is an apocalyptic number.

4920099600 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 4920099600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8551362400).

4920099600 is an abundant number, since it is smaller than the sum of its proper divisors (12182625200).

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

4920099600 is a wasteful number, since it uses less digits than its factorization.

4920099600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 4920099600 is about 70143.4216445135. The cubic root of 4920099600 is about 1700.8184755421.

Adding to 4920099600 its reverse (69900294), we get a palindrome (4989999894).

The spelling of 4920099600 in words is "four billion, nine hundred twenty million, ninety-nine thousand, six hundred".