2440400040020 has 12 divisors (see below), whose sum is σ = 5124840084084. Its totient is φ = 976160016000.

The previous prime is 2440400040017. The next prime is 2440400040079. The reversal of 2440400040020 is 200400040442.

It can be written as a sum of positive squares in 2 ways, for example, as 1153931420944 + 1286468619076 = 1074212^2 + 1134226^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 122020002001 = 2440400040020 / (2 + 4 + 4 + 0 + 4 + 0 + 0 + 0 + 4 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2440400039974 and 2440400040001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61010000981 + ... + 61010001020.

It is an arithmetic number, because the mean of its divisors is an integer number (427070007007).

Almost surely, 2^{2440400040020} is an apocalyptic number.

2440400040020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440400040020 is an abundant number, since it is smaller than the sum of its proper divisors (2684440044064).

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

2440400040020 is a wasteful number, since it uses less digits than its factorization.

2440400040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122020002010 (or 122020002008 counting only the distinct ones).

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

Adding to 2440400040020 its reverse (200400040442), we get a palindrome (2640800080462).

The spelling of 2440400040020 in words is "two trillion, four hundred forty billion, four hundred million, forty thousand, twenty".