424334032000 has 128 divisors (see below), whose sum is σ = 1091381007600. Its totient is φ = 163880550400.

The previous prime is 424334031991. The next prime is 424334032009. The reversal of 424334032000 is 230433424.

It is an interprime number because it is at equal distance from previous prime (424334031991) and next prime (424334032009).

It can be written as a sum of positive squares in 8 ways, for example, as 8185182784 + 416148849216 = 90472^2 + 645096^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (424334032009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6744 + ... + 921256.

Almost surely, 2^424334032000 is an apocalyptic number.

424334032000 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 424334032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545690503800).

424334032000 is an abundant number, since it is smaller than the sum of its proper divisors (667046975600).

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

424334032000 is an equidigital number, since it uses as much as digits as its factorization.

424334032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914571 (or 914549 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 424334032000 its reverse (230433424), we get a palindrome (424564465424).

The spelling of 424334032000 in words is "four hundred twenty-four billion, three hundred thirty-four million, thirty-two thousand".