40408400040 has 64 divisors (see below), whose sum is σ = 124501570560. Its totient is φ = 10484340480.

The previous prime is 40408400033. The next prime is 40408400047. The reversal of 40408400040 is 4000480404.

It is an interprime number because it is at equal distance from previous prime (40408400033) and next prime (40408400047).

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

It is not an unprimeable number, because it can be changed into a prime (40408400047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4546056 + ... + 4554935.

It is an arithmetic number, because the mean of its divisors is an integer number (1945337040).

Almost surely, 2^40408400040 is an apocalyptic number.

40408400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40408400040 is an abundant number, since it is smaller than the sum of its proper divisors (84093170520).

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

40408400040 is a wasteful number, since it uses less digits than its factorization.

40408400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101042 (or 9101038 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40408400040 its reverse (4000480404), we get a palindrome (44408880444).

The spelling of 40408400040 in words is "forty billion, four hundred eight million, four hundred thousand, forty".