11948304240 has 240 divisors, whose sum is σ = 41058994080. Its totient is φ = 3112888320.

The previous prime is 11948304209. The next prime is 11948304257. The reversal of 11948304240 is 4240384911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 11948304195 and 11948304204.

It is a congruent number.

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, 7158126 + ... + 7159794.

It is an arithmetic number, because the mean of its divisors is an integer number (171079142).

Almost surely, 2^11948304240 is an apocalyptic number.

11948304240 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 11948304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20529497040).

11948304240 is an abundant number, since it is smaller than the sum of its proper divisors (29110689840).

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

11948304240 is a wasteful number, since it uses less digits than its factorization.

11948304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11948304240 in words is "eleven billion, nine hundred forty-eight million, three hundred four thousand, two hundred forty".