4132314240 has 64 divisors (see below), whose sum is σ = 13171757760. Its totient is φ = 1101949952.

The previous prime is 4132314227. The next prime is 4132314257. The reversal of 4132314240 is 424132314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4132314240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074204 + ... + 1078043.

It is an arithmetic number, because the mean of its divisors is an integer number (205808715).

Almost surely, 2^4132314240 is an apocalyptic number.

4132314240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132314240 is an abundant number, since it is smaller than the sum of its proper divisors (9039443520).

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

4132314240 is a wasteful number, since it uses less digits than its factorization.

4132314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152269 (or 2152257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4132314240 is about 64283.0789555074. The cubic root of 4132314240 is about 1604.7145113864.

Adding to 4132314240 its reverse (424132314), we get a palindrome (4556446554).

The spelling of 4132314240 in words is "four billion, one hundred thirty-two million, three hundred fourteen thousand, two hundred forty".