431122145040 has 240 divisors, whose sum is σ = 1453748954112. Its totient is φ = 114498794496.

The previous prime is 431122145023. The next prime is 431122145081. The reversal of 431122145040 is 40541221134.

431122145040 is a `hidden beast` number, since 4 + 31 + 122 + 1 + 4 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 431122144995 and 431122145013.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 236489569 + ... + 236491391.

Almost surely, 2^431122145040 is an apocalyptic number.

431122145040 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 431122145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726874477056).

431122145040 is an abundant number, since it is smaller than the sum of its proper divisors (1022626809072).

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

431122145040 is a wasteful number, since it uses less digits than its factorization.

431122145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 431122145040 its reverse (40541221134), we get a palindrome (471663366174).

The spelling of 431122145040 in words is "four hundred thirty-one billion, one hundred twenty-two million, one hundred forty-five thousand, forty".