9131408640 has 360 divisors, whose sum is σ = 33811664040. Its totient is φ = 2350301184.

The previous prime is 9131408621. The next prime is 9131408647. The reversal of 9131408640 is 468041319.

9131408640 is a `hidden beast` number, since 9 + 1 + 3 + 1 + 4 + 0 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2299394304 + 6832014336 = 47952^2 + 82656^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 9131408595 and 9131408604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9131408647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3005202 + ... + 3008238.

It is an arithmetic number, because the mean of its divisors is an integer number (93921289).

Almost surely, 2^9131408640 is an apocalyptic number.

9131408640 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 9131408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16905832020).

9131408640 is an abundant number, since it is smaller than the sum of its proper divisors (24680255400).

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

9131408640 is a wasteful number, since it uses less digits than its factorization.

9131408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9131408640 is about 95558.4043399637. The cubic root of 9131408640 is about 2090.1586870041.

Adding to 9131408640 its reverse (468041319), we get a palindrome (9599449959).

The spelling of 9131408640 in words is "nine billion, one hundred thirty-one million, four hundred eight thousand, six hundred forty".