8961424290 has 432 divisors, whose sum is σ = 30876883128. Its totient is φ = 1787111424.

The previous prime is 8961424279. The next prime is 8961424313. The reversal of 8961424290 is 924241698.

8961424290 is a `hidden beast` number, since 8 + 9 + 614 + 2 + 4 + 29 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3629942001 + 5331482289 = 60249^2 + 73017^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20695914 + ... + 20696346.

Almost surely, 2^8961424290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8961424290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15438441564).

8961424290 is an abundant number, since it is smaller than the sum of its proper divisors (21915458838).

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

8961424290 is a wasteful number, since it uses less digits than its factorization.

8961424290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8961424290 is about 94664.7996353449. The cubic root of 8961424290 is about 2077.1076887403.

The spelling of 8961424290 in words is "eight billion, nine hundred sixty-one million, four hundred twenty-four thousand, two hundred ninety".