1241460000 has 720 divisors, whose sum is σ = 5235199200. Its totient is φ = 285120000.

The previous prime is 1241459993. The next prime is 1241460023. The reversal of 1241460000 is 641421.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65339991 + ... + 65340009.

It is an arithmetic number, because the mean of its divisors is an integer number (7271110).

Almost surely, 2^1241460000 is an apocalyptic number.

1241460000 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 1241460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617599600).

1241460000 is an abundant number, since it is smaller than the sum of its proper divisors (3993739200).

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

1241460000 is a wasteful number, since it uses less digits than its factorization.

1241460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1241460000 is about 35234.3582317033. The cubic root of 1241460000 is about 1074.7585540318.

The spelling of 1241460000 in words is "one billion, two hundred forty-one million, four hundred sixty thousand".