4220004110400 has 252 divisors, whose sum is σ = 16152652560772. Its totient is φ = 1038770196480.

The previous prime is 4220004110327. The next prime is 4220004110417. The reversal of 4220004110400 is 40114000224.

4220004110400 is a `hidden beast` number, since 4 + 220 + 0 + 0 + 41 + 1 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 214754389056 + 4005249721344 = 463416^2 + 2001312^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11084179 + ... + 11458578.

Almost surely, 2^{4220004110400} is an apocalyptic number.

4220004110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220004110400 is an abundant number, since it is smaller than the sum of its proper divisors (11932648450372).

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

4220004110400 is a wasteful number, since it uses less digits than its factorization.

4220004110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22542798 (or 22542780 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 4220004110400 its reverse (40114000224), we get a palindrome (4260118110624).

The spelling of 4220004110400 in words is "four trillion, two hundred twenty billion, four million, one hundred ten thousand, four hundred".