4213078800 has 360 divisors, whose sum is σ = 15844137696. Its totient is φ = 954132480.

The previous prime is 4213078789. The next prime is 4213078813. The reversal of 4213078800 is 88703124.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8055339 + ... + 8055861.

Almost surely, 2^4213078800 is an apocalyptic number.

4213078800 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 4213078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922068848).

4213078800 is an abundant number, since it is smaller than the sum of its proper divisors (11631058896).

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

4213078800 is a wasteful number, since it uses less digits than its factorization.

4213078800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4213078800 is about 64908.2336841791. The cubic root of 4213078800 is about 1615.1016495813.

The spelling of 4213078800 in words is "four billion, two hundred thirteen million, seventy-eight thousand, eight hundred".