4320079110400 has 81 divisors (see below), whose sum is σ = 10693282391463. Its totient is φ = 1727965132800.

The previous prime is 4320079110337. The next prime is 4320079110401. The reversal of 4320079110400 is 40119700234.

The square root of 4320079110400 is 2078480.

It is a perfect power (a square), and thus also a powerful number.

4320079110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48350732544 + 4271728377856 = 219888^2 + 2066816^2 .

It is a super-2 number, since 2×4320079110400² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4320079110401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 166265410 + ... + 166291390.

Almost surely, 2^{4320079110400} is an apocalyptic number.

4320079110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4320079110400 is the 2078480-th square number.

It is an amenable number.

4320079110400 is an abundant number, since it is smaller than the sum of its proper divisors (6373203281063).

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

4320079110400 is an frugal number, since it uses more digits than its factorization.

4320079110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51988 (or 25988 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 4320079110400 in words is "four trillion, three hundred twenty billion, seventy-nine million, one hundred ten thousand, four hundred".