4000400242200 has 144 divisors (see below), whose sum is σ = 13442944652280. Its totient is φ = 1066116948480.

The previous prime is 4000400242159. The next prime is 4000400242247. The reversal of 4000400242200 is 22420040004.

4000400242200 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 400 + 242 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 2245612 + ... + 3611588.

Almost surely, 2^{4000400242200} is an apocalyptic number.

4000400242200 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 4000400242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721472326140).

4000400242200 is an abundant number, since it is smaller than the sum of its proper divisors (9442544410080).

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

4000400242200 is a wasteful number, since it uses less digits than its factorization.

4000400242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367626 (or 1367614 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 4000400242200 its reverse (22420040004), we get a palindrome (4022820282204).

The spelling of 4000400242200 in words is "four trillion, four hundred million, two hundred forty-two thousand, two hundred".