4813319400 has 192 divisors, whose sum is σ = 15898982400. Its totient is φ = 1201109760.

The previous prime is 4813319369. The next prime is 4813319443. The reversal of 4813319400 is 49133184.

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, 943657 + ... + 948743.

It is an arithmetic number, because the mean of its divisors is an integer number (82807200).

Almost surely, 2^4813319400 is an apocalyptic number.

4813319400 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 4813319400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949491200).

4813319400 is an abundant number, since it is smaller than the sum of its proper divisors (11085663000).

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

4813319400 is a wasteful number, since it uses less digits than its factorization.

4813319400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4813319400 is about 69378.0902014462. The cubic root of 4813319400 is about 1688.4241697748.

The spelling of 4813319400 in words is "four billion, eight hundred thirteen million, three hundred nineteen thousand, four hundred".