4043220088320 has 1920 divisors, whose sum is σ = 17821334361600. Its totient is φ = 863833227264.

The previous prime is 4043220088289. The next prime is 4043220088337. The reversal of 4043220088320 is 238800223404.

It is a happy number.

4043220088320 is a `hidden beast` number, since 4 + 0 + 4 + 322 + 0 + 0 + 8 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5341109382 + ... + 5341110138.

It is an arithmetic number, because the mean of its divisors is an integer number (9281944980).

Almost surely, 2^{4043220088320} is an apocalyptic number.

4043220088320 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 4043220088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910667180800).

4043220088320 is an abundant number, since it is smaller than the sum of its proper divisors (13778114273280).

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

4043220088320 is a wasteful number, since it uses less digits than its factorization.

4043220088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4043220088320 in words is "four trillion, forty-three billion, two hundred twenty million, eighty-eight thousand, three hundred twenty".