4213792800 has 864 divisors, whose sum is σ = 18617558400. Its totient is φ = 899942400.

The previous prime is 4213792799. The next prime is 4213792801. The reversal of 4213792800 is 82973124.

4213792800 is a `hidden beast` number, since 4 + 2 + 1 + 379 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4213792799) and next prime (4213792801).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4213792800² = 35512099522663680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4213792801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135928785 + ... + 135928815.

It is an arithmetic number, because the mean of its divisors is an integer number (21548100).

Almost surely, 2^4213792800 is an apocalyptic number.

4213792800 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 4213792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308779200).

4213792800 is an abundant number, since it is smaller than the sum of its proper divisors (14403765600).

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

4213792800 is a wasteful number, since it uses less digits than its factorization.

4213792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4213792800 is about 64913.7335238083. The cubic root of 4213792800 is about 1615.1928827383.

The spelling of 4213792800 in words is "four billion, two hundred thirteen million, seven hundred ninety-two thousand, eight hundred".