1150224251040 has 288 divisors, whose sum is σ = 4033052674560. Its totient is φ = 298301294592.

The previous prime is 1150224251039. The next prime is 1150224251047. The reversal of 1150224251040 is 401524220511.

It is a happy number.

1150224251040 is a `hidden beast` number, since 1 + 1 + 50 + 22 + 42 + 510 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1150224250995 and 1150224251013.

It is not an unprimeable number, because it can be changed into a prime (1150224251047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178964307 + ... + 178970733.

It is an arithmetic number, because the mean of its divisors is an integer number (14003655120).

Almost surely, 2^{1150224251040} is an apocalyptic number.

1150224251040 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 1150224251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016526337280).

1150224251040 is an abundant number, since it is smaller than the sum of its proper divisors (2882828423520).

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

1150224251040 is a wasteful number, since it uses less digits than its factorization.

1150224251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1150224251040 its reverse (401524220511), we get a palindrome (1551748471551).

The spelling of 1150224251040 in words is "one trillion, one hundred fifty billion, two hundred twenty-four million, two hundred fifty-one thousand, forty".