409724240064 has 28 divisors (see below), whose sum is σ = 1084062052344. Its totient is φ = 136574746624.

The previous prime is 409724240047. The next prime is 409724240069. The reversal of 409724240064 is 460042427904.

It is a super-3 number, since 3×409724240064³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 409724239998 and 409724240025.

It is not an unprimeable number, because it can be changed into a prime (409724240069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1066990017 + ... + 1066990400.

Almost surely, 2^409724240064 is an apocalyptic number.

It is an amenable number.

409724240064 is an abundant number, since it is smaller than the sum of its proper divisors (674337812280).

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

409724240064 is a wasteful number, since it uses less digits than its factorization.

409724240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133980432 (or 2133980422 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

Adding to 409724240064 its reverse (460042427904), we get a palindrome (869766667968).

The spelling of 409724240064 in words is "four hundred nine billion, seven hundred twenty-four million, two hundred forty thousand, sixty-four".