4219444080 has 240 divisors, whose sum is σ = 14410699680. Its totient is φ = 1106307072.

The previous prime is 4219444051. The next prime is 4219444087. The reversal of 4219444080 is 804449124.

It is a tau number, because it is divible by the number of its divisors (240).

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 (4219444087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18425406 + ... + 18425634.

It is an arithmetic number, because the mean of its divisors is an integer number (60044582).

Almost surely, 2^4219444080 is an apocalyptic number.

4219444080 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 4219444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205349840).

4219444080 is an abundant number, since it is smaller than the sum of its proper divisors (10191255600).

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

4219444080 is a wasteful number, since it uses less digits than its factorization.

4219444080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4219444080 is about 64957.2480944198. The cubic root of 4219444080 is about 1615.9146259998.

The spelling of 4219444080 in words is "four billion, two hundred nineteen million, four hundred forty-four thousand, eighty".