4219895040 has 288 divisors, whose sum is σ = 14410690560. Its totient is φ = 1048707072.

The previous prime is 4219895021. The next prime is 4219895063. The reversal of 4219895040 is 405989124.

4219895040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4219894983 and 4219895001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8290306 + ... + 8290814.

It is an arithmetic number, because the mean of its divisors is an integer number (50037120).

Almost surely, 2^4219895040 is an apocalyptic number.

4219895040 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 4219895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205345280).

4219895040 is an abundant number, since it is smaller than the sum of its proper divisors (10190795520).

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

4219895040 is a wasteful number, since it uses less digits than its factorization.

4219895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 4219895040 is about 64960.7192078413. The cubic root of 4219895040 is about 1615.9721917902.

The spelling of 4219895040 in words is "four billion, two hundred nineteen million, eight hundred ninety-five thousand, forty".