9406086390 has 128 divisors (see below), whose sum is σ = 25555046400. Its totient is φ = 2461415040.

The previous prime is 9406086379. The next prime is 9406086397. The reversal of 9406086390 is 936806049.

9406086390 is a `hidden beast` number, since 9 + 4 + 0 + 6 + 0 + 8 + 639 + 0 = 666.

It is a super-2 number, since 2×9406086390² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9406086397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4580604 + ... + 4582656.

It is an arithmetic number, because the mean of its divisors is an integer number (199648800).

Almost surely, 2^9406086390 is an apocalyptic number.

9406086390 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9406086390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777523200).

9406086390 is an abundant number, since it is smaller than the sum of its proper divisors (16148960010).

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

9406086390 is a wasteful number, since it uses less digits than its factorization.

9406086390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9406086390 is about 96984.9802288994. The cubic root of 9406086390 is about 2110.9096943685.

The spelling of 9406086390 in words is "nine billion, four hundred six million, eighty-six thousand, three hundred ninety".