4022504640 has 1008 divisors, whose sum is σ = 18592531776. Its totient is φ = 778567680.

The previous prime is 4022504621. The next prime is 4022504641. The reversal of 4022504640 is 464052204.

4022504640 is a `hidden beast` number, since 402 + 250 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022504641) 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, 41469072 + ... + 41469168.

It is an arithmetic number, because the mean of its divisors is an integer number (18444972).

Almost surely, 2^4022504640 is an apocalyptic number.

4022504640 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 4022504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296265888).

4022504640 is an abundant number, since it is smaller than the sum of its proper divisors (14570027136).

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

4022504640 is a wasteful number, since it uses less digits than its factorization.

4022504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4022504640 is about 63423.2184613805. The cubic root of 4022504640 is about 1590.3724771122.

Adding to 4022504640 its reverse (464052204), we get a palindrome (4486556844).

The spelling of 4022504640 in words is "four billion, twenty-two million, five hundred four thousand, six hundred forty".