4229883840 has 336 divisors, whose sum is σ = 16826679072. Its totient is φ = 892329984.

The previous prime is 4229883821. The next prime is 4229883881. The reversal of 4229883840 is 483889224.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4229883840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608062 + ... + 614978.

It is an arithmetic number, because the mean of its divisors is an integer number (50079402).

Almost surely, 2^4229883840 is an apocalyptic number.

4229883840 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 4229883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413339536).

4229883840 is an abundant number, since it is smaller than the sum of its proper divisors (12596795232).

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

4229883840 is a wasteful number, since it uses less digits than its factorization.

4229883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 4229883840 is about 65037.5571496962. The cubic root of 4229883840 is about 1617.2462285032.

The spelling of 4229883840 in words is "four billion, two hundred twenty-nine million, eight hundred eighty-three thousand, eight hundred forty".