4008203228160 has 1056 divisors, whose sum is σ = 15569197712640. Its totient is φ = 947502710784.

The previous prime is 4008203228131. The next prime is 4008203228167. The reversal of 4008203228160 is 618223028004.

4008203228160 is a `hidden beast` number, since 400 + 8 + 20 + 3 + 228 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008203228167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2932115797 + ... + 2932117163.

It is an arithmetic number, because the mean of its divisors is an integer number (14743558440).

Almost surely, 2^{4008203228160} is an apocalyptic number.

4008203228160 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 4008203228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7784598856320).

4008203228160 is an abundant number, since it is smaller than the sum of its proper divisors (11560994484480).

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

4008203228160 is a wasteful number, since it uses less digits than its factorization.

4008203228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 4008203228160 in words is "four trillion, eight billion, two hundred three million, two hundred twenty-eight thousand, one hundred sixty".