4282319400 has 96 divisors (see below), whose sum is σ = 13852416960. Its totient is φ = 1092298240.

The previous prime is 4282319311. The next prime is 4282319401. The reversal of 4282319400 is 49132824.

It is not an unprimeable number, because it can be changed into a prime (4282319401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141357 + ... + 168956.

It is an arithmetic number, because the mean of its divisors is an integer number (144296010).

Almost surely, 2^4282319400 is an apocalyptic number.

4282319400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4282319400 is an abundant number, since it is smaller than the sum of its proper divisors (9570097560).

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

4282319400 is a wasteful number, since it uses less digits than its factorization.

4282319400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310355 (or 310346 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4282319400 is about 65439.4330660039. The cubic root of 4282319400 is about 1623.9015092704.

The spelling of 4282319400 in words is "four billion, two hundred eighty-two million, three hundred nineteen thousand, four hundred".