1241146368 has 528 divisors, whose sum is σ = 4704497280. Its totient is φ = 316293120.

The previous prime is 1241146351. The next prime is 1241146373. The reversal of 1241146368 is 8636411421.

1241146368 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 14 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23417830 + ... + 23417882.

Almost surely, 2^1241146368 is an apocalyptic number.

1241146368 is a gapful number since it is divisible by the number (18) 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 1241146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352248640).

1241146368 is an abundant number, since it is smaller than the sum of its proper divisors (3463350912).

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

1241146368 is a wasteful number, since it uses less digits than its factorization.

1241146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1241146368 is about 35229.9072947971. The cubic root of 1241146368 is about 1074.6680404257.

Adding to 1241146368 its reverse (8636411421), we get a palindrome (9877557789).

The spelling of 1241146368 in words is "one billion, two hundred forty-one million, one hundred forty-six thousand, three hundred sixty-eight".