409334633280400 has 45 divisors (see below), whose sum is σ = 983427428605683. Its totient is φ = 163733691456000.

The previous prime is 409334633280389. The next prime is 409334633280421. The reversal of 409334633280400 is 4082336433904.

The square root of 409334633280400 is 20232020.

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 31701539289744 + 377633093990656 = 5630412^2 + 19432784^2 .

It is a super-3 number, since 3×409334633280400³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 404134600 + ... + 405146200.

Almost surely, 2^{409334633280400} is an apocalyptic number.

409334633280400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

409334633280400 is the 20232020-th square number.

It is an amenable number.

409334633280400 is an abundant number, since it is smaller than the sum of its proper divisors (574092795325283).

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

409334633280400 is an frugal number, since it uses more digits than its factorization.

409334633280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023220 (or 1011608 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 49.

The spelling of 409334633280400 in words is "four hundred nine trillion, three hundred thirty-four billion, six hundred thirty-three million, two hundred eighty thousand, four hundred".