1241066400 has 288 divisors, whose sum is σ = 4767694848. Its totient is φ = 274406400.

The previous prime is 1241066399. The next prime is 1241066401. The reversal of 1241066400 is 46601421.

It is an interprime number because it is at equal distance from previous prime (1241066399) and next prime (1241066401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241066401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519609 + ... + 521991.

It is an arithmetic number, because the mean of its divisors is an integer number (16554496).

Almost surely, 2^1241066400 is an apocalyptic number.

1241066400 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 1241066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383847424).

1241066400 is an abundant number, since it is smaller than the sum of its proper divisors (3526628448).

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

1241066400 is a wasteful number, since it uses less digits than its factorization.

1241066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1241066400 is about 35228.7723317177. The cubic root of 1241066400 is about 1074.6449593715.

Adding to 1241066400 its reverse (46601421), we get a palindrome (1287667821).

The spelling of 1241066400 in words is "one billion, two hundred forty-one million, sixty-six thousand, four hundred".