4400400220400 has 60 divisors (see below), whose sum is σ = 11128380576600. Its totient is φ = 1667520080640.

The previous prime is 4400400220339. The next prime is 4400400220429. The reversal of 4400400220400 is 40220040044.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289492415 + ... + 289507614.

It is an arithmetic number, because the mean of its divisors is an integer number (185473009610).

Almost surely, 2^{4400400220400} is an apocalyptic number.

4400400220400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400400220400 is an abundant number, since it is smaller than the sum of its proper divisors (6727980356200).

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

4400400220400 is a wasteful number, since it uses less digits than its factorization.

4400400220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579000066 (or 579000055 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4400400220400 its reverse (40220040044), we get a palindrome (4440620260444).

The spelling of 4400400220400 in words is "four trillion, four hundred billion, four hundred million, two hundred twenty thousand, four hundred".