12534409440 has 288 divisors, whose sum is σ = 51457835520. Its totient is φ = 2714176512.

The previous prime is 12534409411. The next prime is 12534409441. The reversal of 12534409440 is 4490443521.

12534409440 is a `hidden beast` number, since 125 + 3 + 440 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12534409440² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12534409395 and 12534409404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12534409441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158797 + ... + 224243.

It is an arithmetic number, because the mean of its divisors is an integer number (178673040).

Almost surely, 2^12534409440 is an apocalyptic number.

12534409440 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 12534409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25728917760).

12534409440 is an abundant number, since it is smaller than the sum of its proper divisors (38923426080).

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

12534409440 is a wasteful number, since it uses less digits than its factorization.

12534409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65494 (or 65483 counting only the distinct ones).

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

The spelling of 12534409440 in words is "twelve billion, five hundred thirty-four million, four hundred nine thousand, four hundred forty".