6131442240 has 672 divisors, whose sum is σ = 26946855936. Its totient is φ = 1242501120.

The previous prime is 6131442203. The next prime is 6131442313. The reversal of 6131442240 is 422441316.

It is a happy number.

6131442240 is a `hidden beast` number, since 613 + 1 + 4 + 4 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9535359 + ... + 9536001.

It is an arithmetic number, because the mean of its divisors is an integer number (40099488).

Almost surely, 2^6131442240 is an apocalyptic number.

6131442240 is a gapful number since it is divisible by the number (60) 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 6131442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473427968).

6131442240 is an abundant number, since it is smaller than the sum of its proper divisors (20815413696).

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

6131442240 is a wasteful number, since it uses less digits than its factorization.

6131442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6131442240 is about 78303.5263573742. The cubic root of 6131442240 is about 1830.2941030496.

Adding to 6131442240 its reverse (422441316), we get a palindrome (6553883556).

The spelling of 6131442240 in words is "six billion, one hundred thirty-one million, four hundred forty-two thousand, two hundred forty".