423431144400000 has 768 divisors, whose sum is σ = 1539108074528640. Its totient is φ = 102283776000000.

The previous prime is 423431144399947. The next prime is 423431144400001. The reversal of 423431144400000 is 4441134324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (423431144400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3709142922 + ... + 3709257078.

Almost surely, 2^{423431144400000} is an apocalyptic number.

423431144400000 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 423431144400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769554037264320).

423431144400000 is an abundant number, since it is smaller than the sum of its proper divisors (1115676930128640).

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

423431144400000 is a wasteful number, since it uses less digits than its factorization.

423431144400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114491 (or 114459 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 423431144400000 its reverse (4441134324), we get a palindrome (423435585534324).

The spelling of 423431144400000 in words is "four hundred twenty-three trillion, four hundred thirty-one billion, one hundred forty-four million, four hundred thousand".