9509440500 has 336 divisors, whose sum is σ = 35596614144. Its totient is φ = 2173003200.

The previous prime is 9509440483. The next prime is 9509440517. The reversal of 9509440500 is 50449059.

It is an interprime number because it is at equal distance from previous prime (9509440483) and next prime (9509440517).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2549637 + ... + 2553363.

It is an arithmetic number, because the mean of its divisors is an integer number (105942304).

Almost surely, 2^9509440500 is an apocalyptic number.

9509440500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9509440500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17798307072).

9509440500 is an abundant number, since it is smaller than the sum of its proper divisors (26087173644).

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

9509440500 is a wasteful number, since it uses less digits than its factorization.

9509440500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9509440500 is about 97516.3601658717. The cubic root of 9509440500 is about 2118.6131088627.

Adding to 9509440500 its reverse (50449059), we get a palindrome (9559889559).

The spelling of 9509440500 in words is "nine billion, five hundred nine million, four hundred forty thousand, five hundred".