412268320800 has 1458 divisors, whose sum is σ = 1806247011933. Its totient is φ = 88217902080.

The previous prime is 412268320799. The next prime is 412268320801. The reversal of 412268320800 is 8023862214.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (412268320799) and next prime (412268320801).

It can be written as a sum of positive squares in 2 ways, for example, as 404022954384 + 8245366416 = 635628^2 + 90804^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=454020.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (412268320801) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 8771666377 + ... + 8771666423.

Almost surely, 2^412268320800 is an apocalyptic number.

412268320800 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 412268320800

412268320800 is an abundant number, since it is smaller than the sum of its proper divisors (1393978691133).

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

412268320800 is a wasteful number, since it uses less digits than its factorization.

412268320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 412268320800 in words is "four hundred twelve billion, two hundred sixty-eight million, three hundred twenty thousand, eight hundred".