431065134540 has 432 divisors, whose sum is σ = 1471144540320. Its totient is φ = 101861867520.

The previous prime is 431065134491. The next prime is 431065134541. The reversal of 431065134540 is 45431560134.

431065134540 is a `hidden beast` number, since 4 + 3 + 106 + 5 + 1 + 3 + 4 + 540 = 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 = 431065134495 and 431065134504.

It is not an unprimeable number, because it can be changed into a prime (431065134541) 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, 170988480 + ... + 170991000.

Almost surely, 2^431065134540 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 431065134540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735572270160).

431065134540 is an abundant number, since it is smaller than the sum of its proper divisors (1040079405780).

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

431065134540 is a wasteful number, since it uses less digits than its factorization.

431065134540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 431065134540 its reverse (45431560134), we get a palindrome (476496694674).

The spelling of 431065134540 in words is "four hundred thirty-one billion, sixty-five million, one hundred thirty-four thousand, five hundred forty".