2020442440400 has 60 divisors (see below), whose sum is σ = 4855754054112. Its totient is φ = 807903745920.

The previous prime is 2020442440349. The next prime is 2020442440427. The reversal of 2020442440400 is 40442440202.

It is a super-3 number, since 3×2020442440400³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2020442440400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332837 + ... + 2037563.

Almost surely, 2^{2020442440400} is an apocalyptic number.

2020442440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020442440400 is an abundant number, since it is smaller than the sum of its proper divisors (2835311613712).

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

2020442440400 is a wasteful number, since it uses less digits than its factorization.

2020442440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707708 (or 1707697 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2020442440400 its reverse (40442440202), we get a palindrome (2060884880602).

The spelling of 2020442440400 in words is "two trillion, twenty billion, four hundred forty-two million, four hundred forty thousand, four hundred".