4807114400 has 72 divisors (see below), whose sum is σ = 12802243104. Its totient is φ = 1748038400.

The previous prime is 4807114373. The next prime is 4807114511. The reversal of 4807114400 is 44117084.

It is a super-3 number, since 3×4807114400³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264332 + ... + 281931.

It is an arithmetic number, because the mean of its divisors is an integer number (177808932).

Almost surely, 2^4807114400 is an apocalyptic number.

4807114400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4807114400 is an abundant number, since it is smaller than the sum of its proper divisors (7995128704).

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

4807114400 is a wasteful number, since it uses less digits than its factorization.

4807114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546294 (or 546281 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 4807114400 is about 69333.3570512780. The cubic root of 4807114400 is about 1687.6983243818.

The spelling of 4807114400 in words is "four billion, eight hundred seven million, one hundred fourteen thousand, four hundred".