424673280000 has 600 divisors, whose sum is σ = 1585463594715. Its totient is φ = 113246208000.

The previous prime is 424673279971. The next prime is 424673280001. The reversal of 424673280000 is 82376424.

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 a Jordan-Polya number, since it can be written as (5!)⁴ ⋅ (2!)¹¹.

It can be written as a sum of positive squares in 3 ways, for example, as 98184462336 + 326488817664 = 313344^2 + 571392^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=460800.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9600 × 5760 × 7680.

It is not an unprimeable number, because it can be changed into a prime (424673280001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 84934655998 + ... + 84934656002.

Almost surely, 2^424673280000 is an apocalyptic number.

424673280000 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 424673280000

424673280000 is an abundant number, since it is smaller than the sum of its proper divisors (1160790314715).

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

424673280000 is an frugal number, since it uses more digits than its factorization.

424673280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 424673280000 in words is "four hundred twenty-four billion, six hundred seventy-three million, two hundred eighty thousand".