4214040320 has 72 divisors (see below), whose sum is σ = 11535959904. Its totient is φ = 1444810752.

The previous prime is 4214040307. The next prime is 4214040329. The reversal of 4214040320 is 230404124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4214040292 and 4214040301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214040329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226199 + ... + 244118.

Almost surely, 2^4214040320 is an apocalyptic number.

4214040320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214040320 is an abundant number, since it is smaller than the sum of its proper divisors (7321919584).

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

4214040320 is an equidigital number, since it uses as much as digits as its factorization.

4214040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470345 (or 470331 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4214040320 is about 64915.6400261139. The cubic root of 4214040320 is about 1615.2245078272.

Adding to 4214040320 its reverse (230404124), we get a palindrome (4444444444).

The spelling of 4214040320 in words is "four billion, two hundred fourteen million, forty thousand, three hundred twenty".