424233440144000 has 128 divisors (see below), whose sum is σ = 1057738366086480. Its totient is φ = 169212656025600.

The previous prime is 424233440143963. The next prime is 424233440144011. The reversal of 424233440144000 is 441044332424.

It can be written as a sum of positive squares in 8 ways, for example, as 13236964933696 + 410996475210304 = 3638264^2 + 20273048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31908077 + ... + 43204076.

Almost surely, 2^{424233440144000} is an apocalyptic number.

424233440144000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424233440144000 is an abundant number, since it is smaller than the sum of its proper divisors (633504925942480).

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

424233440144000 is an equidigital number, since it uses as much as digits as its factorization.

424233440144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75112535 (or 75112513 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 424233440144000 its reverse (441044332424), we get a palindrome (424674484476424).

The spelling of 424233440144000 in words is "four hundred twenty-four trillion, two hundred thirty-three billion, four hundred forty million, one hundred forty-four thousand".