4811276400 has 480 divisors, whose sum is σ = 18293257728. Its totient is φ = 1058304000.

The previous prime is 4811276399. The next prime is 4811276411. The reversal of 4811276400 is 46721184.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 44965147 + ... + 44965253.

Almost surely, 2^4811276400 is an apocalyptic number.

4811276400 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 4811276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9146628864).

4811276400 is an abundant number, since it is smaller than the sum of its proper divisors (13481981328).

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

4811276400 is a wasteful number, since it uses less digits than its factorization.

4811276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4811276400 is about 69363.3649702781. The cubic root of 4811276400 is about 1688.1852536587.

Adding to 4811276400 its reverse (46721184), we get a palindrome (4857997584).

The spelling of 4811276400 in words is "four billion, eight hundred eleven million, two hundred seventy-six thousand, four hundred".