4216713408 has 168 divisors, whose sum is σ = 12322350768. Its totient is φ = 1378418688.

The previous prime is 4216713329. The next prime is 4216713409. The reversal of 4216713408 is 8043176124.

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 (4216713409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9226716 + ... + 9227172.

It is an arithmetic number, because the mean of its divisors is an integer number (73347326).

Almost surely, 2^4216713408 is an apocalyptic number.

4216713408 is a gapful number since it is divisible by the number (48) 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 4216713408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161175384).

4216713408 is an abundant number, since it is smaller than the sum of its proper divisors (8105637360).

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

4216713408 is a wasteful number, since it uses less digits than its factorization.

4216713408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4216713408 is about 64936.2256987577. The cubic root of 4216713408 is about 1615.5659635568.

The spelling of 4216713408 in words is "four billion, two hundred sixteen million, seven hundred thirteen thousand, four hundred eight".