11418240000 has 440 divisors, whose sum is σ = 40159519840. Its totient is φ = 2875392000.

The previous prime is 11418239999. The next prime is 11418240061. The reversal of 11418240000 is 4281411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36479844 + ... + 36480156.

It is an arithmetic number, because the mean of its divisors is an integer number (91271636).

Almost surely, 2^11418240000 is an apocalyptic number.

11418240000 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 11418240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079759920).

11418240000 is an abundant number, since it is smaller than the sum of its proper divisors (28741279840).

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

11418240000 is an equidigital number, since it uses as much as digits as its factorization.

11418240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

It can be divided in two parts, 114 and 18240000, that multiplied together give a square (2079360000 = 45600²).

The spelling of 11418240000 in words is "eleven billion, four hundred eighteen million, two hundred forty thousand".