4861418210040 has 256 divisors, whose sum is σ = 16742551633920. Its totient is φ = 1106197056000.

The previous prime is 4861418210017. The next prime is 4861418210041. The reversal of 4861418210040 is 400128141684.

It is a happy number.

It is a super-3 number, since 3×4861418210040³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861418210041) 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, 536161587 + ... + 536170653.

It is an arithmetic number, because the mean of its divisors is an integer number (65400592320).

Almost surely, 2^{4861418210040} is an apocalyptic number.

4861418210040 is a gapful number since it is divisible by the number (40) 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 4861418210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8371275816960).

4861418210040 is an abundant number, since it is smaller than the sum of its proper divisors (11881133423880).

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

4861418210040 is a wasteful number, since it uses less digits than its factorization.

4861418210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11882 (or 11878 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 4861418210040 in words is "four trillion, eight hundred sixty-one billion, four hundred eighteen million, two hundred ten thousand, forty".