4132313280 has 224 divisors, whose sum is σ = 14642470080. Its totient is φ = 1097072640.

The previous prime is 4132313261. The next prime is 4132313323. The reversal of 4132313280 is 823132314.

4132313280 is a `hidden beast` number, since 41 + 32 + 313 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2219550 + ... + 2221410.

It is an arithmetic number, because the mean of its divisors is an integer number (65368170).

Almost surely, 2^4132313280 is an apocalyptic number.

4132313280 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 4132313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321235040).

4132313280 is an abundant number, since it is smaller than the sum of its proper divisors (10510156800).

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

4132313280 is a wasteful number, since it uses less digits than its factorization.

4132313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4132313280 is about 64283.0714885342. The cubic root of 4132313280 is about 1604.7143871198.

Adding to 4132313280 its reverse (823132314), we get a palindrome (4955445594).

The spelling of 4132313280 in words is "four billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred eighty".