4320682400 has 72 divisors (see below), whose sum is σ = 10833017580. Its totient is φ = 1681551360.

The previous prime is 4320682397. The next prime is 4320682417. The reversal of 4320682400 is 42860234.

It can be written as a sum of positive squares in 6 ways, for example, as 2107544464 + 2213137936 = 45908^2 + 47044^2 .

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, 43385 + ... + 102584.

Almost surely, 2^4320682400 is an apocalyptic number.

4320682400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4320682400 is an abundant number, since it is smaller than the sum of its proper divisors (6512335180).

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

4320682400 is a wasteful number, since it uses less digits than its factorization.

4320682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146026 (or 146013 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4320682400 is about 65731.8978883160. The cubic root of 4320682400 is about 1628.7363209318.

The spelling of 4320682400 in words is "four billion, three hundred twenty million, six hundred eighty-two thousand, four hundred".