4601131200 has 504 divisors, whose sum is σ = 17540752320. Its totient is φ = 1140480000.

The previous prime is 4601131187. The next prime is 4601131201. The reversal of 4601131200 is 21311064.

It is a happy number.

4601131200 is a `hidden beast` number, since 460 + 1 + 1 + 3 + 1 + 200 = 666.

It is a super-2 number, since 2×4601131200² = 42340816639226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4601131201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18331075 + ... + 18331325.

It is an arithmetic number, because the mean of its divisors is an integer number (34803080).

Almost surely, 2^4601131200 is an apocalyptic number.

4601131200 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 4601131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770376160).

4601131200 is an abundant number, since it is smaller than the sum of its proper divisors (12939621120).

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

4601131200 is a wasteful number, since it uses less digits than its factorization.

4601131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4601131200 is about 67831.6386356691. The cubic root of 4601131200 is about 1663.2398139485.

Adding to 4601131200 its reverse (21311064), we get a palindrome (4622442264).

The spelling of 4601131200 in words is "four billion, six hundred one million, one hundred thirty-one thousand, two hundred".