9540164040 has 256 divisors, whose sum is σ = 33831198720. Its totient is φ = 2125885440.

The previous prime is 9540164033. The next prime is 9540164107. The reversal of 9540164040 is 404610459.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 9540163992 and 9540164010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 959977 + ... + 969863.

It is an arithmetic number, because the mean of its divisors is an integer number (132153120).

Almost surely, 2^9540164040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9540164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915599360).

9540164040 is an abundant number, since it is smaller than the sum of its proper divisors (24291034680).

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

9540164040 is a wasteful number, since it uses less digits than its factorization.

9540164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 9540164040 is about 97673.7633144131. The cubic root of 9540164040 is about 2120.8922937828.

Adding to 9540164040 its reverse (404610459), we get a palindrome (9944774499).

The spelling of 9540164040 in words is "nine billion, five hundred forty million, one hundred sixty-four thousand, forty".