9812418840 has 512 divisors, whose sum is σ = 38983680000. Its totient is φ = 2148249600.

The previous prime is 9812418827. The next prime is 9812418877. The reversal of 9812418840 is 488142189.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34919500 + ... + 34919780.

It is an arithmetic number, because the mean of its divisors is an integer number (76140000).

Almost surely, 2^9812418840 is an apocalyptic number.

9812418840 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 9812418840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19491840000).

9812418840 is an abundant number, since it is smaller than the sum of its proper divisors (29171261160).

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

9812418840 is a wasteful number, since it uses less digits than its factorization.

9812418840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 9812418840 is about 99057.6541212238. The cubic root of 9812418840 is about 2140.8785253677.

It can be divided in two parts, 98124 and 18840, that added together give a square (116964 = 342²).

The spelling of 9812418840 in words is "nine billion, eight hundred twelve million, four hundred eighteen thousand, eight hundred forty".