9818465040 has 480 divisors, whose sum is σ = 35724499200. Its totient is φ = 2411458560.

The previous prime is 9818465029. The next prime is 9818465051. The reversal of 9818465040 is 405648189.

9818465040 is a `hidden beast` number, since 98 + 18 + 46 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9818465029) and next prime (9818465051).

It is a super-3 number, since 3×9818465040³ (a number of 31 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 54851671 + ... + 54851849.

It is an arithmetic number, because the mean of its divisors is an integer number (74426040).

Almost surely, 2^9818465040 is an apocalyptic number.

9818465040 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 9818465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862249600).

9818465040 is an abundant number, since it is smaller than the sum of its proper divisors (25906034160).

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

9818465040 is a wasteful number, since it uses less digits than its factorization.

9818465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9818465040 is about 99088.1680121295. The cubic root of 9818465040 is about 2141.3181560786.

The spelling of 9818465040 in words is "nine billion, eight hundred eighteen million, four hundred sixty-five thousand, forty".