40224020202020 has 24 divisors (see below), whose sum is σ = 87383216302200. Its totient is φ = 15534794008832.

The previous prime is 40224020201977. The next prime is 40224020202053. The reversal of 40224020202020 is 2020202042204.

It can be written as a sum of positive squares in 4 ways, for example, as 65868195904 + 40158152006116 = 256648^2 + 6337046^2 .

It is a super-2 number, since 2×40224020202020² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

40224020202020 is a modest number, since divided by 20202020 gives 402240 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 40224020201983 and 40224020202001.

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 7 ways as a sum of consecutive naturals, for example, 34675878905 + ... + 34675880064.

It is an arithmetic number, because the mean of its divisors is an integer number (3640967345925).

Almost surely, 2^{40224020202020} is an apocalyptic number.

It is an amenable number.

40224020202020 is an abundant number, since it is smaller than the sum of its proper divisors (47159196100180).

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

40224020202020 is a wasteful number, since it uses less digits than its factorization.

40224020202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69351759007 (or 69351759005 counting only the distinct ones).

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

Adding to 40224020202020 its reverse (2020202042204), we get a palindrome (42244222244224).

The spelling of 40224020202020 in words is "forty trillion, two hundred twenty-four billion, twenty million, two hundred two thousand, twenty".