1149150240 has 480 divisors, whose sum is σ = 4742115840. Its totient is φ = 256628736.

The previous prime is 1149150227. The next prime is 1149150263. The reversal of 1149150240 is 420519411.

1149150240 is a `hidden beast` number, since 114 + 9 + 1 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4808041 + ... + 4808279.

It is an arithmetic number, because the mean of its divisors is an integer number (9879408).

Almost surely, 2^1149150240 is an apocalyptic number.

1149150240 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 1149150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371057920).

1149150240 is an abundant number, since it is smaller than the sum of its proper divisors (3592965600).

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

1149150240 is a wasteful number, since it uses less digits than its factorization.

1149150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1149150240 is about 33899.1185726119. The cubic root of 1149150240 is about 1047.4314360562.

Adding to 1149150240 its reverse (420519411), we get a palindrome (1569669651).

The spelling of 1149150240 in words is "one billion, one hundred forty-nine million, one hundred fifty thousand, two hundred forty".