12414332040 has 256 divisors, whose sum is σ = 42088377600. Its totient is φ = 2903347200.

The previous prime is 12414332033. The next prime is 12414332057. The reversal of 12414332040 is 4023341421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12414332040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4266106 + ... + 4269014.

It is an arithmetic number, because the mean of its divisors is an integer number (164407725).

Almost surely, 2^12414332040 is an apocalyptic number.

12414332040 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 12414332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21044188800).

12414332040 is an abundant number, since it is smaller than the sum of its proper divisors (29674045560).

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

12414332040 is a wasteful number, since it uses less digits than its factorization.

12414332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12414332040 its reverse (4023341421), we get a palindrome (16437673461).

The spelling of 12414332040 in words is "twelve billion, four hundred fourteen million, three hundred thirty-two thousand, forty".