12416040 has 192 divisors, whose sum is σ = 49795200. Its totient is φ = 2612736.

The previous prime is 12416029. The next prime is 12416077. The reversal of 12416040 is 4061421.

12416040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32571 + ... + 32949.

It is an arithmetic number, because the mean of its divisors is an integer number (259350).

Almost surely, 2^12416040 is an apocalyptic number.

12416040 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 12416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24897600).

12416040 is an abundant number, since it is smaller than the sum of its proper divisors (37379160).

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

12416040 is a wasteful number, since it uses less digits than its factorization.

12416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12416040 is about 3523.6401632403. The cubic root of 12416040 is about 231.5586635489.

Adding to 12416040 its reverse (4061421), we get a palindrome (16477461).

The spelling of 12416040 in words is "twelve million, four hundred sixteen thousand, forty".