4216935840 has 192 divisors, whose sum is σ = 14448938112. Its totient is φ = 1027584000.

The previous prime is 4216935839. The next prime is 4216935869. The reversal of 4216935840 is 485396124.

It is a junction number, because it is equal to n+sod(n) for n = 4216935792 and 4216935801.

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 31 ways as a sum of consecutive naturals, for example, 626895 + ... + 633585.

It is an arithmetic number, because the mean of its divisors is an integer number (75254886).

Almost surely, 2^4216935840 is an apocalyptic number.

4216935840 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 4216935840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224469056).

4216935840 is an abundant number, since it is smaller than the sum of its proper divisors (10232002272).

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

4216935840 is a wasteful number, since it uses less digits than its factorization.

4216935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4216935840 is about 64937.9383719563. The cubic root of 4216935840 is about 1615.5943701391.

The spelling of 4216935840 in words is "four billion, two hundred sixteen million, nine hundred thirty-five thousand, eight hundred forty".