4814011200 has 336 divisors, whose sum is σ = 16327526400. Its totient is φ = 1241210880.

The previous prime is 4814011199. The next prime is 4814011201. The reversal of 4814011200 is 21104184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4814011199) and next prime (4814011201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4814011201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32308726 + ... + 32308874.

Almost surely, 2^4814011200 is an apocalyptic number.

4814011200 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 4814011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163763200).

4814011200 is an abundant number, since it is smaller than the sum of its proper divisors (11513515200).

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

4814011200 is a wasteful number, since it uses less digits than its factorization.

4814011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 4814011200 is about 69383.0757461789. The cubic root of 4814011200 is about 1688.5050561506.

Adding to 4814011200 its reverse (21104184), we get a palindrome (4835115384).

It can be divided in two parts, 48140 and 11200, that added together give a triangular number (59340 = T₃₄₄).

The spelling of 4814011200 in words is "four billion, eight hundred fourteen million, eleven thousand, two hundred".