4219205760 has 960 divisors, whose sum is σ = 19247595840. Its totient is φ = 870912000.

The previous prime is 4219205729. The next prime is 4219205779. The reversal of 4219205760 is 675029124.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27941685 + ... + 27941835.

It is an arithmetic number, because the mean of its divisors is an integer number (20049579).

Almost surely, 2^4219205760 is an apocalyptic number.

4219205760 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 4219205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623797920).

4219205760 is an abundant number, since it is smaller than the sum of its proper divisors (15028390080).

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

4219205760 is a wasteful number, since it uses less digits than its factorization.

4219205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4219205760 is about 64955.4136311978. The cubic root of 4219205760 is about 1615.8842024008.

The spelling of 4219205760 in words is "four billion, two hundred nineteen million, two hundred five thousand, seven hundred sixty".