40414442440 has 16 divisors (see below), whose sum is σ = 90932495580. Its totient is φ = 16165776960.

The previous prime is 40414442413. The next prime is 40414442443. The reversal of 40414442440 is 4424441404.

40414442440 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 2 ways, for example, as 36830983396 + 3583459044 = 191914^2 + 59862^2 .

It is a super-3 number, since 3×40414442440³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40414442443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505180491 + ... + 505180570.

Almost surely, 2^40414442440 is an apocalyptic number.

40414442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40414442440 is an abundant number, since it is smaller than the sum of its proper divisors (50518053140).

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

40414442440 is a wasteful number, since it uses less digits than its factorization.

40414442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010361072 (or 1010361068 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 40414442440 its reverse (4424441404), we get a palindrome (44838883844).

The spelling of 40414442440 in words is "forty billion, four hundred fourteen million, four hundred forty-two thousand, four hundred forty".