4000203905616 has 160 divisors (see below), whose sum is σ = 12088890844800. Its totient is φ = 1262960501760.

The previous prime is 4000203905587. The next prime is 4000203905629. The reversal of 4000203905616 is 6165093020004.

It is a happy number.

4000203905616 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 2 + 0 + 3 + 90 + 561 + 6 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41656890 + ... + 41752806.

It is an arithmetic number, because the mean of its divisors is an integer number (75555567780).

Almost surely, 2^{4000203905616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000203905616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044445422400).

4000203905616 is an abundant number, since it is smaller than the sum of its proper divisors (8088686939184).

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

4000203905616 is a wasteful number, since it uses less digits than its factorization.

4000203905616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101034 (or 101022 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 4000203905616 in words is "four trillion, two hundred three million, nine hundred five thousand, six hundred sixteen".