4221296640 has 448 divisors, whose sum is σ = 16419697920. Its totient is φ = 1020395520.

The previous prime is 4221296561. The next prime is 4221296641. The reversal of 4221296640 is 466921224.

4221296640 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 2 + 9 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4221296595 and 4221296604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221296641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12164947 + ... + 12165293.

Almost surely, 2^4221296640 is an apocalyptic number.

4221296640 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 4221296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8209848960).

4221296640 is an abundant number, since it is smaller than the sum of its proper divisors (12198401280).

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

4221296640 is a wasteful number, since it uses less digits than its factorization.

4221296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4221296640 is about 64971.5063701004. The cubic root of 4221296640 is about 1616.1510821724.

The spelling of 4221296640 in words is "four billion, two hundred twenty-one million, two hundred ninety-six thousand, six hundred forty".