4040216421120 has 864 divisors, whose sum is σ = 15416034903360. Its totient is φ = 968821309440.

The previous prime is 4040216421091. The next prime is 4040216421139. The reversal of 4040216421120 is 211246120404.

4040216421120 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 2 + 1 + 642 + 1 + 12 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5698471326 + ... + 5698472034.

It is an arithmetic number, because the mean of its divisors is an integer number (17842632990).

Almost surely, 2^{4040216421120} is an apocalyptic number.

4040216421120 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 4040216421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7708017451680).

4040216421120 is an abundant number, since it is smaller than the sum of its proper divisors (11375818482240).

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

4040216421120 is a wasteful number, since it uses less digits than its factorization.

4040216421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 4040216421120 in words is "four trillion, forty billion, two hundred sixteen million, four hundred twenty-one thousand, one hundred twenty".