12414415104 has 1008 divisors, whose sum is σ = 49543224192. Its totient is φ = 3009871872.

The previous prime is 12414415063. The next prime is 12414415109. The reversal of 12414415104 is 40151441421.

12414415104 = T₂₉₅ + T₂₉₆ + ... + T₄₂₀₇.

It is a happy number.

12414415104 is a `hidden beast` number, since 1 + 2 + 4 + 144 + 1 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12414415109) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 288707307 + ... + 288707349.

It is an arithmetic number, because the mean of its divisors is an integer number (49150024).

Almost surely, 2^12414415104 is an apocalyptic number.

12414415104 is a gapful number since it is divisible by the number (14) 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 12414415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24771612096).

12414415104 is an abundant number, since it is smaller than the sum of its proper divisors (37128809088).

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

12414415104 is an equidigital number, since it uses as much as digits as its factorization.

12414415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 12414415104 its reverse (40151441421), we get a palindrome (52565856525).

The spelling of 12414415104 in words is "twelve billion, four hundred fourteen million, four hundred fifteen thousand, one hundred four".