8913144240 has 960 divisors, whose sum is σ = 40947379200. Its totient is φ = 1677680640.

The previous prime is 8913144223. The next prime is 8913144257. The reversal of 8913144240 is 424413198.

It is a happy number.

8913144240 is a `hidden beast` number, since 89 + 131 + 442 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8913144223) and next prime (8913144257).

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 = 8913144195 and 8913144204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59819686 + ... + 59819834.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 2^8913144240 is an apocalyptic number.

8913144240 is a gapful number since it is divisible by the number (80) 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 8913144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473689600).

8913144240 is an abundant number, since it is smaller than the sum of its proper divisors (32034234960).

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

8913144240 is a wasteful number, since it uses less digits than its factorization.

8913144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8913144240 is about 94409.4499507332. The cubic root of 8913144240 is about 2073.3708014812.

The spelling of 8913144240 in words is "eight billion, nine hundred thirteen million, one hundred forty-four thousand, two hundred forty".