9600040400 has 60 divisors (see below), whose sum is σ = 23073513900. Its totient is φ = 3838448640.

The previous prime is 9600040343. The next prime is 9600040409. The reversal of 9600040400 is 40400069.

It can be written as a sum of positive squares in 6 ways, for example, as 896643136 + 8703397264 = 29944^2 + 93292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9600040409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1953146 + ... + 1958054.

It is an arithmetic number, because the mean of its divisors is an integer number (384558565).

Almost surely, 2^9600040400 is an apocalyptic number.

It is an amenable number.

9600040400 is an abundant number, since it is smaller than the sum of its proper divisors (13473473500).

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

9600040400 is a wasteful number, since it uses less digits than its factorization.

9600040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9816 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 9600040400 is about 97979.7958764969. The cubic root of 9600040400 is about 2125.3201197087.

Adding to 9600040400 its reverse (40400069), we get a palindrome (9640440469).

The spelling of 9600040400 in words is "nine billion, six hundred million, forty thousand, four hundred".