4964198400 has 1008 divisors, whose sum is σ = 22200141600. Its totient is φ = 1074954240.

The previous prime is 4964198363. The next prime is 4964198401. The reversal of 4964198400 is 48914694.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (4964198401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 261273591 + ... + 261273609.

It is an arithmetic number, because the mean of its divisors is an integer number (22023950).

Almost surely, 2^4964198400 is an apocalyptic number.

4964198400 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 4964198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100070800).

4964198400 is an abundant number, since it is smaller than the sum of its proper divisors (17235943200).

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

4964198400 is an equidigital number, since it uses as much as digits as its factorization.

4964198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4964198400 is about 70457.0677788964. The cubic root of 4964198400 is about 1705.8848415529.

The spelling of 4964198400 in words is "four billion, nine hundred sixty-four million, one hundred ninety-eight thousand, four hundred".