4221635040 has 144 divisors (see below), whose sum is σ = 16464415968. Its totient is φ = 964942848.

The previous prime is 4221635017. The next prime is 4221635053. The reversal of 4221635040 is 405361224.

4221635040 is a `hidden beast` number, since 4 + 2 + 21 + 635 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4221634995 and 4221635013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199327 + ... + 219486.

It is an arithmetic number, because the mean of its divisors is an integer number (114336222).

Almost surely, 2^4221635040 is an apocalyptic number.

4221635040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221635040 is an abundant number, since it is smaller than the sum of its proper divisors (12242780928).

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

4221635040 is a wasteful number, since it uses less digits than its factorization.

4221635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418841 (or 418830 counting only the distinct ones).

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

The square root of 4221635040 is about 64974.1105364283. The cubic root of 4221635040 is about 1616.1942672377.

Adding to 4221635040 its reverse (405361224), we get a palindrome (4626996264).

The spelling of 4221635040 in words is "four billion, two hundred twenty-one million, six hundred thirty-five thousand, forty".