12438034560 has 576 divisors, whose sum is σ = 50500869120. Its totient is φ = 2812465152.

The previous prime is 12438034537. The next prime is 12438034561. The reversal of 12438034560 is 6543083421.

12438034560 is a `hidden beast` number, since 12 + 4 + 3 + 80 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×12438034560³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12438034561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35844307 + ... + 35844653.

It is an arithmetic number, because the mean of its divisors is an integer number (87675120).

Almost surely, 2^12438034560 is an apocalyptic number.

12438034560 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 12438034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25250434560).

12438034560 is an abundant number, since it is smaller than the sum of its proper divisors (38062834560).

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

12438034560 is a wasteful number, since it uses less digits than its factorization.

12438034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12438034560 in words is "twelve billion, four hundred thirty-eight million, thirty-four thousand, five hundred sixty".