11424840000 has 840 divisors, whose sum is σ = 46133857440. Its totient is φ = 2483712000.

The previous prime is 11424839957. The next prime is 11424840013. The reversal of 11424840000 is 4842411.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170519967 + ... + 170520033.

Almost surely, 2^11424840000 is an apocalyptic number.

11424840000 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 11424840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23066928720).

11424840000 is an abundant number, since it is smaller than the sum of its proper divisors (34709017440).

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

11424840000 is an equidigital number, since it uses as much as digits as its factorization.

11424840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 11424840000 in words is "eleven billion, four hundred twenty-four million, eight hundred forty thousand".