431042350144 has 168 divisors, whose sum is σ = 1013082934968. Its totient is φ = 181397422080.

The previous prime is 431042350133. The next prime is 431042350159. The reversal of 431042350144 is 441053240134.

It can be written as a sum of positive squares in 4 ways, for example, as 14862535744 + 416179814400 = 121912^2 + 645120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53336184 + ... + 53344264.

Almost surely, 2^431042350144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431042350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506541467484).

431042350144 is an abundant number, since it is smaller than the sum of its proper divisors (582040584824).

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

431042350144 is a wasteful number, since it uses less digits than its factorization.

431042350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8413 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 431042350144 its reverse (441053240134), we get a palindrome (872095590278).

The spelling of 431042350144 in words is "four hundred thirty-one billion, forty-two million, three hundred fifty thousand, one hundred forty-four".