4771094400 has 480 divisors, whose sum is σ = 17905773600. Its totient is φ = 1250795520.

The previous prime is 4771094381. The next prime is 4771094429. The reversal of 4771094400 is 44901774.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4771094400² = 45526683547422720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 20476684 + ... + 20476916.

It is an arithmetic number, because the mean of its divisors is an integer number (37303695).

Almost surely, 2^4771094400 is an apocalyptic number.

4771094400 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 4771094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8952886800).

4771094400 is an abundant number, since it is smaller than the sum of its proper divisors (13134679200).

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

4771094400 is a wasteful number, since it uses less digits than its factorization.

4771094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4771094400 is about 69073.1090946397. The cubic root of 4771094400 is about 1683.4724097316.

The spelling of 4771094400 in words is "four billion, seven hundred seventy-one million, ninety-four thousand, four hundred".