4812365610000 has 1200 divisors, whose sum is σ = 19276457696496. Its totient is φ = 1109901312000.

The previous prime is 4812365609971. The next prime is 4812365610007. The reversal of 4812365610000 is 165632184.

It is a happy number.

4812365610000 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 36 + 5 + 610 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 1631536163856 + 3180829446144 = 1277316^2 + 1783488^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4812365610007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6225569614 + ... + 6225570386.

Almost surely, 2^{4812365610000} is an apocalyptic number.

4812365610000 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 4812365610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9638228848248).

4812365610000 is an abundant number, since it is smaller than the sum of its proper divisors (14464092086496).

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

4812365610000 is a wasteful number, since it uses less digits than its factorization.

4812365610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 4812365610000 in words is "four trillion, eight hundred twelve billion, three hundred sixty-five million, six hundred ten thousand".