4213505640 has 64 divisors (see below), whose sum is σ = 12782577600. Its totient is φ = 1110973952.

The previous prime is 4213505603. The next prime is 4213505657. The reversal of 4213505640 is 465053124.

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 = 4213505598 and 4213505607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186582 + ... + 207941.

It is an arithmetic number, because the mean of its divisors is an integer number (199727775).

Almost surely, 2^4213505640 is an apocalyptic number.

4213505640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4213505640 is an abundant number, since it is smaller than the sum of its proper divisors (8569071960).

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

4213505640 is a wasteful number, since it uses less digits than its factorization.

4213505640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394626 (or 394622 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4213505640 is about 64911.5216275200. The cubic root of 4213505640 is about 1615.1561913816.

Adding to 4213505640 its reverse (465053124), we get a palindrome (4678558764).

The spelling of 4213505640 in words is "four billion, two hundred thirteen million, five hundred five thousand, six hundred forty".