1241838000 has 640 divisors, whose sum is σ = 5037177600. Its totient is φ = 290304000.

The previous prime is 1241837999. The next prime is 1241838001. The reversal of 1241838000 is 8381421.

It is an interprime number because it is at equal distance from previous prime (1241837999) and next prime (1241838001).

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 (1241838001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20357970 + ... + 20358030.

It is an arithmetic number, because the mean of its divisors is an integer number (7870590).

Almost surely, 2^1241838000 is an apocalyptic number.

1241838000 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 1241838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518588800).

1241838000 is an abundant number, since it is smaller than the sum of its proper divisors (3795339600).

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

1241838000 is a wasteful number, since it uses less digits than its factorization.

1241838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1241838000 is about 35239.7219058267. The cubic root of 1241838000 is about 1074.8676238656.

The spelling of 1241838000 in words is "one billion, two hundred forty-one million, eight hundred thirty-eight thousand".