1241309160 has 288 divisors, whose sum is σ = 5054835240. Its totient is φ = 261854208.

The previous prime is 1241309123. The next prime is 1241309203. The reversal of 1241309160 is 619031421.

It can be written as a sum of positive squares in 4 ways, for example, as 591365124 + 649944036 = 24318^2 + 25494^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 226614 + ... + 232026.

Almost surely, 2^1241309160 is an apocalyptic number.

1241309160 is a gapful number since it is divisible by the number (10) 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 1241309160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527417620).

1241309160 is an abundant number, since it is smaller than the sum of its proper divisors (3813526080).

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

1241309160 is a wasteful number, since it uses less digits than its factorization.

1241309160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1241309160 is about 35232.2176423795. The cubic root of 1241309160 is about 1074.7150237941.

The spelling of 1241309160 in words is "one billion, two hundred forty-one million, three hundred nine thousand, one hundred sixty".