2004422350400 has 42 divisors (see below), whose sum is σ = 4932131749890. Its totient is φ = 801768939520.

The previous prime is 2004422350393. The next prime is 2004422350417. The reversal of 2004422350400 is 40532244002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16074182656 + 1988348167744 = 126784^2 + 1410088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2004422350400.

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, 626380385 + ... + 626383584.

Almost surely, 2^{2004422350400} is an apocalyptic number.

2004422350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004422350400 is an abundant number, since it is smaller than the sum of its proper divisors (2927709399490).

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

2004422350400 is a wasteful number, since it uses less digits than its factorization.

2004422350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252763991 (or 1252763976 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 2004422350400 its reverse (40532244002), we get a palindrome (2044954594402).

The spelling of 2004422350400 in words is "two trillion, four billion, four hundred twenty-two million, three hundred fifty thousand, four hundred".