2042400220440 has 64 divisors (see below), whose sum is σ = 6128252121600. Its totient is φ = 544546595712.

The previous prime is 2042400220369. The next prime is 2042400220453. The reversal of 2042400220440 is 440220042402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2042400220440.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 756762 + ... + 2158121.

It is an arithmetic number, because the mean of its divisors is an integer number (95753939400).

Almost surely, 2^{2042400220440} is an apocalyptic number.

2042400220440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042400220440 is an abundant number, since it is smaller than the sum of its proper divisors (4085851901160).

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

2042400220440 is a wasteful number, since it uses less digits than its factorization.

2042400220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920736 (or 2920732 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2042400220440 its reverse (440220042402), we get a palindrome (2482620262842).

The spelling of 2042400220440 in words is "two trillion, forty-two billion, four hundred million, two hundred twenty thousand, four hundred forty".