4182821916 has 192 divisors, whose sum is σ = 12818211840. Its totient is φ = 1030164480.

The previous prime is 4182821897. The next prime is 4182821921. The reversal of 4182821916 is 6191282814.

It is a super-2 number, since 2×4182821916² = 34991998361939822112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2579586 + ... + 2581206.

It is an arithmetic number, because the mean of its divisors is an integer number (66761520).

Almost surely, 2^4182821916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4182821916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409105920).

4182821916 is an abundant number, since it is smaller than the sum of its proper divisors (8635389924).

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

4182821916 is a wasteful number, since it uses less digits than its factorization.

4182821916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1802 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 4182821916 is about 64674.7393964599. The cubic root of 4182821916 is about 1611.2259885082.

The spelling of 4182821916 in words is "four billion, one hundred eighty-two million, eight hundred twenty-one thousand, nine hundred sixteen".