4382266400 has 72 divisors (see below), whose sum is σ = 11261310480. Its totient is φ = 1660642560.

The previous prime is 4382266393. The next prime is 4382266463. The reversal of 4382266400 is 46622834.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128954 + ... + 159353.

It is an arithmetic number, because the mean of its divisors is an integer number (156407090).

Almost surely, 2^4382266400 is an apocalyptic number.

4382266400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4382266400 is an abundant number, since it is smaller than the sum of its proper divisors (6879044080).

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

4382266400 is a wasteful number, since it uses less digits than its factorization.

4382266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288346 (or 288333 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 4382266400 is about 66198.6888087672. The cubic root of 4382266400 is about 1636.4381352539.

The spelling of 4382266400 in words is "four billion, three hundred eighty-two million, two hundred sixty-six thousand, four hundred".