412240210320114 has 160 divisors (see below), whose sum is σ = 1016793003663360. Its totient is φ = 123797781756000.

The previous prime is 412240210320091. The next prime is 412240210320157. The reversal of 412240210320114 is 411023012042214.

412240210320114 is a `hidden beast` number, since 4 + 1 + 2 + 240 + 210 + 3 + 201 + 1 + 4 = 666.

It is a super-3 number, since 3×412240210320114³ (a number of 45 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110917167 + ... + 114573549.

It is an arithmetic number, because the mean of its divisors is an integer number (6354956272896).

Almost surely, 2^{412240210320114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412240210320114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508396501831680).

412240210320114 is an abundant number, since it is smaller than the sum of its proper divisors (604552793343246).

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

412240210320114 is a wasteful number, since it uses less digits than its factorization.

412240210320114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656978 (or 3656969 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 412240210320114 its reverse (411023012042214), we get a palindrome (823263222362328).

The spelling of 412240210320114 in words is "four hundred twelve trillion, two hundred forty billion, two hundred ten million, three hundred twenty thousand, one hundred fourteen".