40042200220020 has 72 divisors (see below), whose sum is σ = 122163429436776. Its totient is φ = 10616197969152.

The previous prime is 40042200219997. The next prime is 40042200220039. The reversal of 40042200220020 is 2002200224004.

40042200220020 is a `hidden beast` number, since 4 + 0 + 0 + 422 + 0 + 0 + 220 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18125982681444 + 21916217538576 = 4257462^2 + 4681476^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40042200219975 and 40042200220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642907207 + ... + 642969486.

It is an arithmetic number, because the mean of its divisors is an integer number (1696714297733).

Almost surely, 2^{40042200220020} is an apocalyptic number.

It is an amenable number.

40042200220020 is an abundant number, since it is smaller than the sum of its proper divisors (82121229216756).

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

40042200220020 is a wasteful number, since it uses less digits than its factorization.

40042200220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285876881 (or 1285876876 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40042200220020 its reverse (2002200224004), we get a palindrome (42044400444024).

The spelling of 40042200220020 in words is "forty trillion, forty-two billion, two hundred million, two hundred twenty thousand, twenty".