4871193600 has 1056 divisors, whose sum is σ = 21492124416. Its totient is φ = 943718400.

The previous prime is 4871193581. The next prime is 4871193601. The reversal of 4871193600 is 63911784.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4871193601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118809580 + ... + 118809620.

Almost surely, 2^4871193600 is an apocalyptic number.

4871193600 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 4871193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746062208).

4871193600 is an abundant number, since it is smaller than the sum of its proper divisors (16620930816).

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

4871193600 is a wasteful number, since it uses less digits than its factorization.

4871193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 4871193600 is about 69793.9366994010. The cubic root of 4871193600 is about 1695.1642969499.

It can be divided in two parts, 48711 and 93600, that added together give a triangular number (142311 = T₅₃₃).

The spelling of 4871193600 in words is "four billion, eight hundred seventy-one million, one hundred ninety-three thousand, six hundred".