9406164240 has 480 divisors, whose sum is σ = 35828956800. Its totient is φ = 2191564800.

The previous prime is 9406164233. The next prime is 9406164331. The reversal of 9406164240 is 424616049.

9406164240 is a `hidden beast` number, since 9 + 4 + 0 + 6 + 1 + 642 + 4 + 0 = 666.

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 = 9406164195 and 9406164204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26951586 + ... + 26951934.

It is an arithmetic number, because the mean of its divisors is an integer number (74643660).

Almost surely, 2^9406164240 is an apocalyptic number.

9406164240 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 9406164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914478400).

9406164240 is an abundant number, since it is smaller than the sum of its proper divisors (26422792560).

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

9406164240 is a wasteful number, since it uses less digits than its factorization.

9406164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9406164240 is about 96985.3815788751. The cubic root of 9406164240 is about 2110.9155180399.

The spelling of 9406164240 in words is "nine billion, four hundred six million, one hundred sixty-four thousand, two hundred forty".