4065431040 has 320 divisors, whose sum is σ = 15756491520. Its totient is φ = 985374720.

The previous prime is 4065431011. The next prime is 4065431059. The reversal of 4065431040 is 401345604.

4065431040 is a `hidden beast` number, since 4 + 0 + 654 + 3 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4065430995 and 4065431013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757647 + ... + 762993.

It is an arithmetic number, because the mean of its divisors is an integer number (49239036).

Almost surely, 2^4065431040 is an apocalyptic number.

4065431040 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 4065431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878245760).

4065431040 is an abundant number, since it is smaller than the sum of its proper divisors (11691060480).

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

4065431040 is a wasteful number, since it uses less digits than its factorization.

4065431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4065431040 is about 63760.7327435938. The cubic root of 4065431040 is about 1596.0097234978.

Adding to 4065431040 its reverse (401345604), we get a palindrome (4466776644).

It can be divided in two parts, 40 and 65431040, that added together give a triangular number (65431080 = T₁₁₄₃₉).

The spelling of 4065431040 in words is "four billion, sixty-five million, four hundred thirty-one thousand, forty".