40204420040 has 64 divisors (see below), whose sum is σ = 92369378160. Its totient is φ = 15745536000.

The previous prime is 40204420031. The next prime is 40204420043. The reversal of 40204420040 is 4002440204.

40204420040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12968198884 + 27236221156 = 113878^2 + 165034^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 40204419994 and 40204420021.

It is not an unprimeable number, because it can be changed into a prime (40204420043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349790 + ... + 450290.

Almost surely, 2^40204420040 is an apocalyptic number.

40204420040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40204420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46184689080).

40204420040 is an abundant number, since it is smaller than the sum of its proper divisors (52164958120).

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

40204420040 is a wasteful number, since it uses less digits than its factorization.

40204420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100722 (or 100718 counting only the distinct ones).

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

Adding to 40204420040 its reverse (4002440204), we get a palindrome (44206860244).

The spelling of 40204420040 in words is "forty billion, two hundred four million, four hundred twenty thousand, forty".