1241321760 has 288 divisors, whose sum is σ = 5021557632. Its totient is φ = 283668480.

The previous prime is 1241321729. The next prime is 1241321761. The reversal of 1241321760 is 671231421.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1241321761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269880 + ... + 274440.

It is an arithmetic number, because the mean of its divisors is an integer number (17435964).

Almost surely, 2^1241321760 is an apocalyptic number.

1241321760 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 1241321760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510778816).

1241321760 is an abundant number, since it is smaller than the sum of its proper divisors (3780235872).

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

1241321760 is an equidigital number, since it uses as much as digits as its factorization.

1241321760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1241321760 is about 35232.3964555351. The cubic root of 1241321760 is about 1074.7186601065.

The spelling of 1241321760 in words is "one billion, two hundred forty-one million, three hundred twenty-one thousand, seven hundred sixty".