20400044214330 has 144 divisors (see below), whose sum is σ = 59400298830600. Its totient is φ = 4852154461440.

The previous prime is 20400044214317. The next prime is 20400044214353. The reversal of 20400044214330 is 3341244000402.

It is a happy number.

20400044214330 is a `hidden beast` number, since 2 + 0 + 400 + 0 + 44 + 214 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18733722093009 + 1666322121321 = 4328247^2 + 1290861^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20400044214294 and 20400044214303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17095305 + ... + 18249644.

Almost surely, 2^{20400044214330} is an apocalyptic number.

20400044214330 is an abundant number, since it is smaller than the sum of its proper divisors (39000254616270).

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

20400044214330 is a wasteful number, since it uses less digits than its factorization.

20400044214330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35345037 (or 35345023 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20400044214330 its reverse (3341244000402), we get a palindrome (23741288214732).

The spelling of 20400044214330 in words is "twenty trillion, four hundred billion, forty-four million, two hundred fourteen thousand, three hundred thirty".