4216942080 has 720 divisors, whose sum is σ = 17118390960. Its totient is φ = 983384064.

The previous prime is 4216942057. The next prime is 4216942087. The reversal of 4216942080 is 802496124.

4216942080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4216942087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221944311 + ... + 221944329.

It is an arithmetic number, because the mean of its divisors is an integer number (23775543).

Almost surely, 2^4216942080 is an apocalyptic number.

4216942080 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 4216942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8559195480).

4216942080 is an abundant number, since it is smaller than the sum of its proper divisors (12901448880).

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

4216942080 is a wasteful number, since it uses less digits than its factorization.

4216942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4216942080 is about 64937.9864178125. The cubic root of 4216942080 is about 1615.5951670293.

The spelling of 4216942080 in words is "four billion, two hundred sixteen million, nine hundred forty-two thousand, eighty".