412024244131000 has 256 divisors, whose sum is σ = 1027734687308160. Its totient is φ = 154072512921600.

The previous prime is 412024244130901. The next prime is 412024244131037. The reversal of 412024244131000 is 131442420214.

It is a super-2 number, since 2×412024244131000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 412024244131000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1505706192 + ... + 1505979808.

Almost surely, 2^{412024244131000} is an apocalyptic number.

412024244131000 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 412024244131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513867343654080).

412024244131000 is an abundant number, since it is smaller than the sum of its proper divisors (615710443177160).

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

412024244131000 is a wasteful number, since it uses less digits than its factorization.

412024244131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274251 (or 274237 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 412024244131000 its reverse (131442420214), we get a palindrome (412155686551214).

The spelling of 412024244131000 in words is "four hundred twelve trillion, twenty-four billion, two hundred forty-four million, one hundred thirty-one thousand".