409533442704 has 135 divisors (see below), whose sum is σ = 1217898017947. Its totient is φ = 128440123392.

The previous prime is 409533442697. The next prime is 409533442709. The reversal of 409533442704 is 407244335904.

The square root of 409533442704 is 639948.

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

409533442704 is a `hidden beast` number, since 4 + 0 + 9 + 533 + 4 + 42 + 70 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 306415388304 + 103118054400 = 553548^2 + 321120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 409533442704.

It is not an unprimeable number, because it can be changed into a prime (409533442709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130547824 + ... + 130550960.

Almost surely, 2^409533442704 is an apocalyptic number.

409533442704 is the 639948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409533442704

409533442704 is an abundant number, since it is smaller than the sum of its proper divisors (808364575243).

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

409533442704 is an equidigital number, since it uses as much as digits as its factorization.

409533442704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 409533442704 in words is "four hundred nine billion, five hundred thirty-three million, four hundred forty-two thousand, seven hundred four".