12334909440 has 384 divisors, whose sum is σ = 47488896000. Its totient is φ = 2670133248.

The previous prime is 12334909429. The next prime is 12334909471. The reversal of 12334909440 is 4490943321.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12334909440² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4084251 + ... + 4087269.

It is an arithmetic number, because the mean of its divisors is an integer number (123669000).

Almost surely, 2^12334909440 is an apocalyptic number.

12334909440 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 12334909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23744448000).

12334909440 is an abundant number, since it is smaller than the sum of its proper divisors (35153986560).

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

12334909440 is a wasteful number, since it uses less digits than its factorization.

12334909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 12334909440 in words is "twelve billion, three hundred thirty-four million, nine hundred nine thousand, four hundred forty".