4065623040 has 176 divisors, whose sum is σ = 13689025920. Its totient is φ = 1027031040.

The previous prime is 4065623033. The next prime is 4065623063. The reversal of 4065623040 is 403265604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4065622989 and 4065623007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284875 + ... + 298805.

Almost surely, 2^4065623040 is an apocalyptic number.

4065623040 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 4065623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844512960).

4065623040 is an abundant number, since it is smaller than the sum of its proper divisors (9623402880).

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

4065623040 is a wasteful number, since it uses less digits than its factorization.

4065623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13978 (or 13960 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 4065623040 is about 63762.2383546876. The cubic root of 4065623040 is about 1596.0348482664.

Adding to 4065623040 its reverse (403265604), we get a palindrome (4468888644).

The spelling of 4065623040 in words is "four billion, sixty-five million, six hundred twenty-three thousand, forty".