412410224000 has 128 divisors (see below), whose sum is σ = 1034433391680. Its totient is φ = 163503513600.

The previous prime is 412410223987. The next prime is 412410224011. The reversal of 412410224000 is 422014214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1693949 + ... + 1922051.

Almost surely, 2^412410224000 is an apocalyptic number.

412410224000 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 412410224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517216695840).

412410224000 is an abundant number, since it is smaller than the sum of its proper divisors (622023167680).

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

412410224000 is a wasteful number, since it uses less digits than its factorization.

412410224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228245 (or 228223 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 412410224000 its reverse (422014214), we get a palindrome (412832238214).

The spelling of 412410224000 in words is "four hundred twelve billion, four hundred ten million, two hundred twenty-four thousand".