9146442240 has 840 divisors, whose sum is σ = 36831498660. Its totient is φ = 2173796352.

The previous prime is 9146442233. The next prime is 9146442241. The reversal of 9146442240 is 422446419.

It is a happy number.

9146442240 is a `hidden beast` number, since 9 + 1 + 4 + 644 + 2 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 994519296 + 8151922944 = 31536^2 + 90288^2 .

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 = 9146442195 and 9146442204.

It is not an unprimeable number, because it can be changed into a prime (9146442241) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 315394546 + ... + 315394574.

Almost surely, 2^9146442240 is an apocalyptic number.

9146442240 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 9146442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415749330).

9146442240 is an abundant number, since it is smaller than the sum of its proper divisors (27685056420).

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

9146442240 is an equidigital number, since it uses as much as digits as its factorization.

9146442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 9146442240 is about 95637.0338310427. The cubic root of 9146442240 is about 2091.3051103839.

Adding to 9146442240 its reverse (422446419), we get a palindrome (9568888659).

The spelling of 9146442240 in words is "nine billion, one hundred forty-six million, four hundred forty-two thousand, two hundred forty".