1241168544 has 288 divisors, whose sum is σ = 4453577856. Its totient is φ = 318504960.

The previous prime is 1241168519. The next prime is 1241168561. The reversal of 1241168544 is 4458611421.

1241168544 is a `hidden beast` number, since 12 + 41 + 1 + 68 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1241168544³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1241168499 and 1241168508.

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, 2150784 + ... + 2151360.

It is an arithmetic number, because the mean of its divisors is an integer number (15463812).

Almost surely, 2^1241168544 is an apocalyptic number.

1241168544 is a gapful number since it is divisible by the number (14) 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 1241168544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226788928).

1241168544 is an abundant number, since it is smaller than the sum of its proper divisors (3212409312).

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

1241168544 is a wasteful number, since it uses less digits than its factorization.

1241168544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1241168544 is about 35230.2220259822. Note that the first 3 decimals coincide. The cubic root of 1241168544 is about 1074.6744408785.

Adding to 1241168544 its reverse (4458611421), we get a palindrome (5699779965).

The spelling of 1241168544 in words is "one billion, two hundred forty-one million, one hundred sixty-eight thousand, five hundred forty-four".