8735430227940 has 288 divisors, whose sum is σ = 29097898982880. Its totient is φ = 2120797126656.

The previous prime is 8735430227933. The next prime is 8735430228023. The reversal of 8735430227940 is 497220345378.

It is a happy number.

8735430227940 is a `hidden beast` number, since 8 + 7 + 3 + 543 + 0 + 2 + 2 + 7 + 94 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7445006930916 + 1290423297024 = 2728554^2 + 1135968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28717284 + ... + 29019876.

Almost surely, 2^{8735430227940} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8735430227940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548949491440).

8735430227940 is an abundant number, since it is smaller than the sum of its proper divisors (20362468754940).

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

8735430227940 is a wasteful number, since it uses less digits than its factorization.

8735430227940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302720 (or 302689 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 8735430227940 in words is "eight trillion, seven hundred thirty-five billion, four hundred thirty million, two hundred twenty-seven thousand, nine hundred forty".