4861106411000 has 256 divisors, whose sum is σ = 13776292857600. Its totient is φ = 1569942528000.

The previous prime is 4861106410933. The next prime is 4861106411033. The reversal of 4861106411000 is 1146011684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8030972 + ... + 8615028.

It is an arithmetic number, because the mean of its divisors is an integer number (53813643975).

Almost surely, 2^{4861106411000} is an apocalyptic number.

4861106411000 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 4861106411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888146428800).

4861106411000 is an abundant number, since it is smaller than the sum of its proper divisors (8915186446600).

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

4861106411000 is a wasteful number, since it uses less digits than its factorization.

4861106411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584155 (or 584141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 4861106411000 in words is "four trillion, eight hundred sixty-one billion, one hundred six million, four hundred eleven thousand".