431295107040 has 864 divisors, whose sum is σ = 1752920507520. Its totient is φ = 96255129600.

The previous prime is 431295107011. The next prime is 431295107041. The reversal of 431295107040 is 40701592134.

431295107040 is a `hidden beast` number, since 4 + 31 + 2 + 9 + 510 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 431295106986 and 431295107004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431295107041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 878401195 + ... + 878401685.

It is an arithmetic number, because the mean of its divisors is an integer number (2028843180).

Almost surely, 2^431295107040 is an apocalyptic number.

431295107040 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 431295107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876460253760).

431295107040 is an abundant number, since it is smaller than the sum of its proper divisors (1321625400480).

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

431295107040 is a wasteful number, since it uses less digits than its factorization.

431295107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 431295107040 its reverse (40701592134), we get a palindrome (471996699174).

The spelling of 431295107040 in words is "four hundred thirty-one billion, two hundred ninety-five million, one hundred seven thousand, forty".