412210240345200 has 720 divisors, whose sum is σ = 1516027253045760. Its totient is φ = 95547064166400.

The previous prime is 412210240345187. The next prime is 412210240345249. The reversal of 412210240345200 is 2543042012214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 433237189 + ... + 434187611.

It is an arithmetic number, because the mean of its divisors is an integer number (2105593407008).

Almost surely, 2^{412210240345200} is an apocalyptic number.

412210240345200 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 412210240345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758013626522880).

412210240345200 is an abundant number, since it is smaller than the sum of its proper divisors (1103817012700560).

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

412210240345200 is a wasteful number, since it uses less digits than its factorization.

412210240345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950598 (or 950576 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 412210240345200 its reverse (2543042012214), we get a palindrome (414753282357414).

The spelling of 412210240345200 in words is "four hundred twelve trillion, two hundred ten billion, two hundred forty million, three hundred forty-five thousand, two hundred".