1241731200528 has 960 divisors, whose sum is σ = 4789830931200. Its totient is φ = 304331489280.

The previous prime is 1241731200503. The next prime is 1241731200533. The reversal of 1241731200528 is 8250021371421.

1241731200528 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 7 + 3 + 120 + 0 + 528 = 666.

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 = 1241731200492 and 1241731200501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 277108048 + ... + 277112528.

It is an arithmetic number, because the mean of its divisors is an integer number (4989407220).

Almost surely, 2^{1241731200528} is an apocalyptic number.

1241731200528 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 1241731200528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394915465600).

1241731200528 is an abundant number, since it is smaller than the sum of its proper divisors (3548099730672).

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

1241731200528 is a wasteful number, since it uses less digits than its factorization.

1241731200528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 1241731200528 its reverse (8250021371421), we get a palindrome (9491752571949).

The spelling of 1241731200528 in words is "one trillion, two hundred forty-one billion, seven hundred thirty-one million, two hundred thousand, five hundred twenty-eight".