412230144000 has 416 divisors, whose sum is σ = 1452516713856. Its totient is φ = 103455129600.

The previous prime is 412230143911. The next prime is 412230144013. The reversal of 412230144000 is 441032214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26104107 + ... + 26119893.

It is an arithmetic number, because the mean of its divisors is an integer number (3491626716).

Almost surely, 2^412230144000 is an apocalyptic number.

412230144000 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 412230144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726258356928).

412230144000 is an abundant number, since it is smaller than the sum of its proper divisors (1040286569856).

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

412230144000 is a wasteful number, since it uses less digits than its factorization.

412230144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15846 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 412230144000 its reverse (441032214), we get a palindrome (412671176214).

The spelling of 412230144000 in words is "four hundred twelve billion, two hundred thirty million, one hundred forty-four thousand".