4216000800 has 144 divisors (see below), whose sum is σ = 14970729312. Its totient is φ = 1022054400.

The previous prime is 4216000781. The next prime is 4216000807. The reversal of 4216000800 is 80006124.

It is not an unprimeable number, because it can be changed into a prime (4216000807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53449 + ... + 106248.

It is an arithmetic number, because the mean of its divisors is an integer number (103963398).

Almost surely, 2^4216000800 is an apocalyptic number.

4216000800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4216000800 is an abundant number, since it is smaller than the sum of its proper divisors (10754728512).

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

4216000800 is a wasteful number, since it uses less digits than its factorization.

4216000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159731 (or 159718 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4216000800 is about 64930.7384834025. The cubic root of 4216000800 is about 1615.4749503294.

Adding to 4216000800 its reverse (80006124), we get a palindrome (4296006924).

The spelling of 4216000800 in words is "four billion, two hundred sixteen million, eight hundred", and thus it is an aban number.