12450493440 has 1056 divisors, whose sum is σ = 56100245760. Its totient is φ = 2497904640.

The previous prime is 12450493421. The next prime is 12450493453. The reversal of 12450493440 is 4439405421.

12450493440 is a `hidden beast` number, since 1 + 24 + 504 + 93 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 = 12450493395 and 12450493404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429327346 + ... + 429327374.

Almost surely, 2^12450493440 is an apocalyptic number.

12450493440 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 12450493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28050122880).

12450493440 is an abundant number, since it is smaller than the sum of its proper divisors (43649752320).

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

12450493440 is a wasteful number, since it uses less digits than its factorization.

12450493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

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

Adding to 12450493440 its reverse (4439405421), we get a palindrome (16889898861).

The spelling of 12450493440 in words is "twelve billion, four hundred fifty million, four hundred ninety-three thousand, four hundred forty".