4218672640 has 360 divisors, whose sum is σ = 12805095600. Its totient is φ = 1328431104.

The previous prime is 4218672631. The next prime is 4218672683. The reversal of 4218672640 is 462768124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4218672593 and 4218672602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21199261 + ... + 21199459.

It is an arithmetic number, because the mean of its divisors is an integer number (35569710).

Almost surely, 2^4218672640 is an apocalyptic number.

4218672640 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 4218672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402547800).

4218672640 is an abundant number, since it is smaller than the sum of its proper divisors (8586422960).

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

4218672640 is a wasteful number, since it uses less digits than its factorization.

4218672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 4218672640 is about 64951.3097635452. The cubic root of 4218672640 is about 1615.8161408966.

The spelling of 4218672640 in words is "four billion, two hundred eighteen million, six hundred seventy-two thousand, six hundred forty".