4152985612800 has 240 divisors, whose sum is σ = 14089920484992. Its totient is φ = 1077531033600.

The previous prime is 4152985612751. The next prime is 4152985612801. The reversal of 4152985612800 is 82165892514.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (4152985612801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40696 + ... + 2882295.

Almost surely, 2^{4152985612800} is an apocalyptic number.

4152985612800 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 4152985612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044960242496).

4152985612800 is an abundant number, since it is smaller than the sum of its proper divisors (9936934872192).

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

4152985612800 is a wasteful number, since it uses less digits than its factorization.

4152985612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923059 (or 2923038 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 4152985612800 in words is "four trillion, one hundred fifty-two billion, nine hundred eighty-five million, six hundred twelve thousand, eight hundred".