4218478800 has 120 divisors (see below), whose sum is σ = 14224491360. Its totient is φ = 1065715200.

The previous prime is 4218478793. The next prime is 4218478841. The reversal of 4218478800 is 88748124.

4218478800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69711 + ... + 115310.

It is an arithmetic number, because the mean of its divisors is an integer number (118537428).

Almost surely, 2^4218478800 is an apocalyptic number.

4218478800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4218478800 is an abundant number, since it is smaller than the sum of its proper divisors (10006012560).

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

4218478800 is a wasteful number, since it uses less digits than its factorization.

4218478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185061 (or 185050 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 4218478800 is about 64949.8175517068. The cubic root of 4218478800 is about 1615.7913926227.

The spelling of 4218478800 in words is "four billion, two hundred eighteen million, four hundred seventy-eight thousand, eight hundred".