412414100340 has 96 divisors (see below), whose sum is σ = 1260888177024. Its totient is φ = 99887861760.

The previous prime is 412414100333. The next prime is 412414100341. The reversal of 412414100340 is 43001414214.

It is a self number, because there is not a number n which added to its sum of digits gives 412414100340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412414100341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439212 + ... + 1008828.

It is an arithmetic number, because the mean of its divisors is an integer number (13134251844).

Almost surely, 2^412414100340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412414100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630444088512).

412414100340 is an abundant number, since it is smaller than the sum of its proper divisors (848474076684).

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

412414100340 is a wasteful number, since it uses less digits than its factorization.

412414100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570737 (or 570735 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 412414100340 its reverse (43001414214), we get a palindrome (455415514554).

The spelling of 412414100340 in words is "four hundred twelve billion, four hundred fourteen million, one hundred thousand, three hundred forty".