11631120240 has 80 divisors (see below), whose sum is σ = 37624163328. Its totient is φ = 2966777088.

The previous prime is 11631120239. The next prime is 11631120251. The reversal of 11631120240 is 4202113611.

11631120240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1048024 + ... + 1059063.

Almost surely, 2^11631120240 is an apocalyptic number.

11631120240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11631120240 is an abundant number, since it is smaller than the sum of its proper divisors (25993043088).

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

11631120240 is a wasteful number, since it uses less digits than its factorization.

11631120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107126 (or 2107120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11631120240 its reverse (4202113611), we get a palindrome (15833233851).

The spelling of 11631120240 in words is "eleven billion, six hundred thirty-one million, one hundred twenty thousand, two hundred forty".