488171191200 has 1152 divisors, whose sum is σ = 2116088561664. Its totient is φ = 94735872000.

The previous prime is 488171191133. The next prime is 488171191213. The reversal of 488171191200 is 2191171884.

It is a super-2 number, since 2×488171191200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182765865 + ... + 182768535.

It is an arithmetic number, because the mean of its divisors is an integer number (1836882432).

Almost surely, 2^488171191200 is an apocalyptic number.

488171191200 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 488171191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058044280832).

488171191200 is an abundant number, since it is smaller than the sum of its proper divisors (1627917370464).

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

488171191200 is a wasteful number, since it uses less digits than its factorization.

488171191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

The spelling of 488171191200 in words is "four hundred eighty-eight billion, one hundred seventy-one million, one hundred ninety-one thousand, two hundred".