431442544050 has 288 divisors, whose sum is σ = 1353294169344. Its totient is φ = 96509952000.

The previous prime is 431442544019. The next prime is 431442544079. The reversal of 431442544050 is 50445244134.

431442544050 is a `hidden beast` number, since 4 + 3 + 144 + 25 + 440 + 50 = 666.

It is a super-2 number, since 2×431442544050² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431442543996 and 431442544014.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30633010 + ... + 30647090.

It is an arithmetic number, because the mean of its divisors is an integer number (4698938088).

Almost surely, 2^431442544050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431442544050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676647084672).

431442544050 is an abundant number, since it is smaller than the sum of its proper divisors (921851625294).

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

431442544050 is a wasteful number, since it uses less digits than its factorization.

431442544050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14314 (or 14306 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 431442544050 its reverse (50445244134), we get a palindrome (481887788184).

The spelling of 431442544050 in words is "four hundred thirty-one billion, four hundred forty-two million, five hundred forty-four thousand, fifty".