4021104400400 has 120 divisors (see below), whose sum is σ = 9705327971040. Its totient is φ = 1601016632320.

The previous prime is 4021104400387. The next prime is 4021104400421. The reversal of 4021104400400 is 40044011204.

It is a happy number.

4021104400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421538831 + ... + 421548369.

It is an arithmetic number, because the mean of its divisors is an integer number (80877733092).

Almost surely, 2^{4021104400400} is an apocalyptic number.

4021104400400 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 4021104400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852663985520).

4021104400400 is an abundant number, since it is smaller than the sum of its proper divisors (5684223570640).

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

4021104400400 is a wasteful number, since it uses less digits than its factorization.

4021104400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14313 (or 14302 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4021104400400 its reverse (40044011204), we get a palindrome (4061148411604).

The spelling of 4021104400400 in words is "four trillion, twenty-one billion, one hundred four million, four hundred thousand, four hundred".