4152803155200 has 1944 divisors, whose sum is σ = 18065060559000. Its totient is φ = 906347151360.

The previous prime is 4152803155139. The next prime is 4152803155211. The reversal of 4152803155200 is 25513082514.

4152803155200 is a `hidden beast` number, since 4 + 1 + 52 + 80 + 3 + 1 + 5 + 520 + 0 = 666.

4152803155200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2105935001856 + 2046868153344 = 1451184^2 + 1430688^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9249004576 + ... + 9249005024.

It is an arithmetic number, because the mean of its divisors is an integer number (9292726625).

Almost surely, 2^{4152803155200} is an apocalyptic number.

4152803155200 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 4152803155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9032530279500).

4152803155200 is an abundant number, since it is smaller than the sum of its proper divisors (13912257403800).

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

4152803155200 is a wasteful number, since it uses less digits than its factorization.

4152803155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 4152803155200 in words is "four trillion, one hundred fifty-two billion, eight hundred three million, one hundred fifty-five thousand, two hundred".