12354540440 has 144 divisors (see below), whose sum is σ = 31043476800. Its totient is φ = 4421767680.

The previous prime is 12354540427. The next prime is 12354540481. The reversal of 12354540440 is 4404545321.

It is a super-3 number, since 3×12354540440³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12354540397 and 12354540406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25792121 + ... + 25792599.

It is an arithmetic number, because the mean of its divisors is an integer number (215579700).

Almost surely, 2^12354540440 is an apocalyptic number.

12354540440 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 12354540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15521738400).

12354540440 is an abundant number, since it is smaller than the sum of its proper divisors (18688936360).

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

12354540440 is a wasteful number, since it uses less digits than its factorization.

12354540440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 12354540440 in words is "twelve billion, three hundred fifty-four million, five hundred forty thousand, four hundred forty".