1241410000 has 100 divisors (see below), whose sum is σ = 3076540192. Its totient is φ = 484848000.

The previous prime is 1241409979. The next prime is 1241410007. The reversal of 1241410000 is 141421.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241410007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 428557 + ... + 431443.

Almost surely, 2^1241410000 is an apocalyptic number.

1241410000 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 1241410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538270096).

1241410000 is an abundant number, since it is smaller than the sum of its proper divisors (1835130192).

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

1241410000 is an equidigital number, since it uses as much as digits as its factorization.

1241410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1241410000 is about 35233.6486898533. The cubic root of 1241410000 is about 1074.7441251472.

Adding to 1241410000 its reverse (141421), we get a palindrome (1241551421).

The spelling of 1241410000 in words is "one billion, two hundred forty-one million, four hundred ten thousand".