4002200440400 has 120 divisors (see below), whose sum is σ = 10109935940544. Its totient is φ = 1519587097600.

The previous prime is 4002200440363. The next prime is 4002200440411. The reversal of 4002200440400 is 40440022004.

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 23 ways as a sum of consecutive naturals, for example, 455189 + ... + 2865588.

Almost surely, 2^{4002200440400} is an apocalyptic number.

4002200440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002200440400 is an abundant number, since it is smaller than the sum of its proper divisors (6107735500144).

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

4002200440400 is a wasteful number, since it uses less digits than its factorization.

4002200440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320949 (or 3320938 counting only the distinct ones).

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

Adding to 4002200440400 its reverse (40440022004), we get a palindrome (4042640462404).

The spelling of 4002200440400 in words is "four trillion, two billion, two hundred million, four hundred forty thousand, four hundred".