4341219840 has 320 divisors, whose sum is σ = 15550254720. Its totient is φ = 1147944960.

The previous prime is 4341219821. The next prime is 4341219887. The reversal of 4341219840 is 489121434.

It is a happy number.

4341219840 is a `hidden beast` number, since 434 + 1 + 219 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 4341219795 and 4341219804.

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, 12510547 + ... + 12510893.

It is an arithmetic number, because the mean of its divisors is an integer number (48594546).

Almost surely, 2^4341219840 is an apocalyptic number.

4341219840 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 4341219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775127360).

4341219840 is an abundant number, since it is smaller than the sum of its proper divisors (11209034880).

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

4341219840 is a wasteful number, since it uses less digits than its factorization.

4341219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 538 counting only the distinct ones).

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

The square root of 4341219840 is about 65887.9339484856. The cubic root of 4341219840 is about 1631.3128595146.

The spelling of 4341219840 in words is "four billion, three hundred forty-one million, two hundred nineteen thousand, eight hundred forty".