4404220400 has 30 divisors (see below), whose sum is σ = 10581140472. Its totient is φ = 1761688000.

The previous prime is 4404220339. The next prime is 4404220477. The reversal of 4404220400 is 40224044.

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5504876 + ... + 5505675.

Almost surely, 2^4404220400 is an apocalyptic number.

4404220400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404220400 is an abundant number, since it is smaller than the sum of its proper divisors (6176920072).

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

4404220400 is a wasteful number, since it uses less digits than its factorization.

4404220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11010569 (or 11010558 counting only the distinct ones).

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

The square root of 4404220400 is about 66364.3006442470. The cubic root of 4404220400 is about 1639.1662924901.

Adding to 4404220400 its reverse (40224044), we get a palindrome (4444444444).

The spelling of 4404220400 in words is "four billion, four hundred four million, two hundred twenty thousand, four hundred".