4218421680 has 240 divisors, whose sum is σ = 16027974144. Its totient is φ = 1022595840.

The previous prime is 4218421673. The next prime is 4218421681. The reversal of 4218421680 is 861248124.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (4218421681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203977 + ... + 223703.

Almost surely, 2^4218421680 is an apocalyptic number.

4218421680 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 4218421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013987072).

4218421680 is an abundant number, since it is smaller than the sum of its proper divisors (11809552464).

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

4218421680 is a wasteful number, since it uses less digits than its factorization.

4218421680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19766 (or 19748 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4218421680 is about 64949.3778261193. The cubic root of 4218421680 is about 1615.7840997552.

The spelling of 4218421680 in words is "four billion, two hundred eighteen million, four hundred twenty-one thousand, six hundred eighty".