9405840240 has 240 divisors, whose sum is σ = 33574413600. Its totient is φ = 2359793664.

The previous prime is 9405840203. The next prime is 9405840259. The reversal of 9405840240 is 420485049.

9405840240 is a `hidden beast` number, since 9 + 405 + 8 + 4 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 9405840195 and 9405840204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3536031 + ... + 3538689.

It is an arithmetic number, because the mean of its divisors is an integer number (139893390).

Almost surely, 2^9405840240 is an apocalyptic number.

9405840240 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 9405840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787206800).

9405840240 is an abundant number, since it is smaller than the sum of its proper divisors (24168573360).

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

9405840240 is a wasteful number, since it uses less digits than its factorization.

9405840240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 9405840240 is about 96983.7112096665. The cubic root of 9405840240 is about 2110.8912805837.

The spelling of 9405840240 in words is "nine billion, four hundred five million, eight hundred forty thousand, two hundred forty".