412413534720 has 720 divisors, whose sum is σ = 1628397650880. Its totient is φ = 99960791040.

The previous prime is 412413534707. The next prime is 412413534739. The reversal of 412413534720 is 27435314214.

412413534720 is a `hidden beast` number, since 4 + 1 + 241 + 353 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75268941 + ... + 75274419.

It is an arithmetic number, because the mean of its divisors is an integer number (2261663404).

Almost surely, 2^412413534720 is an apocalyptic number.

412413534720 is a gapful number since it is divisible by the number (40) 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 412413534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814198825440).

412413534720 is an abundant number, since it is smaller than the sum of its proper divisors (1215984116160).

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

412413534720 is an equidigital number, since it uses as much as digits as its factorization.

412413534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 412413534720 its reverse (27435314214), we get a palindrome (439848848934).

The spelling of 412413534720 in words is "four hundred twelve billion, four hundred thirteen million, five hundred thirty-four thousand, seven hundred twenty".