20010440200400 has 90 divisors (see below), whose sum is σ = 52057633977090. Its totient is φ = 7388470202880.

The previous prime is 20010440200379. The next prime is 20010440200409. The reversal of 20010440200400 is 400204401002.

It can be written as a sum of positive squares in 9 ways, for example, as 9877015843984 + 10133424356416 = 3142772^2 + 3183304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010440200409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 147938615 + ... + 148073814.

It is an arithmetic number, because the mean of its divisors is an integer number (578418155301).

Almost surely, 2^{20010440200400} is an apocalyptic number.

20010440200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010440200400 is an abundant number, since it is smaller than the sum of its proper divisors (32047193776690).

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

20010440200400 is a wasteful number, since it uses less digits than its factorization.

20010440200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296012473 (or 296012449 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 20010440200400 its reverse (400204401002), we get a palindrome (20410644601402).

The spelling of 20010440200400 in words is "twenty trillion, ten billion, four hundred forty million, two hundred thousand, four hundred".