4358640400 has 45 divisors (see below), whose sum is σ = 10474806783. Its totient is φ = 1742928000.

The previous prime is 4358640383. The next prime is 4358640427. The reversal of 4358640400 is 40468534.

The square root of 4358640400 is 66020.

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

It can be written as a sum of positive squares in 4 ways, for example, as 842624784 + 3516015616 = 29028^2 + 59296^2 .

It is a super-2 number, since 2×4358640400² = 37995492273024320000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1318750 + ... + 1322050.

Almost surely, 2^4358640400 is an apocalyptic number.

4358640400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4358640400 is the 66020-th square number.

It is an amenable number.

4358640400 is an abundant number, since it is smaller than the sum of its proper divisors (6116166383).

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

4358640400 is an frugal number, since it uses more digits than its factorization.

4358640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The cubic root of 4358640400 is about 1633.4920055023.

The spelling of 4358640400 in words is "four billion, three hundred fifty-eight million, six hundred forty thousand, four hundred".