412021500000320 has 448 divisors, whose sum is σ = 1186740764375040. Its totient is φ = 133101066240000.

The previous prime is 412021500000317. The next prime is 412021500000353. The reversal of 412021500000320 is 23000005120214.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 412021500000292 and 412021500000301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7381621052 + ... + 7381676868.

It is an arithmetic number, because the mean of its divisors is an integer number (2648974920480).

Almost surely, 2^{412021500000320} is an apocalyptic number.

412021500000320 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 412021500000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593370382187520).

412021500000320 is an abundant number, since it is smaller than the sum of its proper divisors (774719264374720).

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

412021500000320 is a wasteful number, since it uses less digits than its factorization.

412021500000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56802 (or 56792 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 412021500000320 its reverse (23000005120214), we get a palindrome (435021505120534).

The spelling of 412021500000320 in words is "four hundred twelve trillion, twenty-one billion, five hundred million, three hundred twenty", and thus it is an aban number.