412126206750720 has 6240 divisors, whose sum is σ = 2091030447179520. Its totient is φ = 76303596257280.

The previous prime is 412126206750691. The next prime is 412126206750721. The reversal of 412126206750720 is 27057602621214.

412126206750720 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 2 + 62 + 0 + 67 + 507 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412126206750721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 288806030647 + ... + 288806032073.

Almost surely, 2^{412126206750720} is an apocalyptic number.

412126206750720 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 412126206750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045515223589760).

412126206750720 is an abundant number, since it is smaller than the sum of its proper divisors (1678904240428800).

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

412126206750720 is a wasteful number, since it uses less digits than its factorization.

412126206750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 412126206750720 in words is "four hundred twelve trillion, one hundred twenty-six billion, two hundred six million, seven hundred fifty thousand, seven hundred twenty".