4083146496000 has 3456 divisors, whose sum is σ = 19010761922880. Its totient is φ = 859963392000.

The previous prime is 4083146495993. The next prime is 4083146496001. The reversal of 4083146496000 is 6946413804.

4083146496000 is a `hidden beast` number, since 4 + 0 + 8 + 31 + 4 + 6 + 4 + 9 + 600 + 0 = 666.

4083146496000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4083146496001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 240185087992 + ... + 240185088008.

Almost surely, 2^{4083146496000} is an apocalyptic number.

4083146496000 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 4083146496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505380961440).

4083146496000 is an abundant number, since it is smaller than the sum of its proper divisors (14927615426880).

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

4083146496000 is an equidigital number, since it uses as much as digits as its factorization.

4083146496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4083146496000 in words is "four trillion, eighty-three billion, one hundred forty-six million, four hundred ninety-six thousand".