40505040 has 120 divisors (see below), whose sum is σ = 137622888. Its totient is φ = 10675200.

The previous prime is 40505039. The next prime is 40505053. The reversal of 40505040 is 4050504.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5363856 + 35141184 = 2316^2 + 5928^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72442 + ... + 72998.

Almost surely, 2^40505040 is an apocalyptic number.

40505040 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 40505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68811444).

40505040 is an abundant number, since it is smaller than the sum of its proper divisors (97117848).

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

40505040 is a wasteful number, since it uses less digits than its factorization.

40505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40505040 is about 6364.3569981578. The cubic root of 40505040 is about 343.4285175079.

Adding to 40505040 its reverse (4050504), we get a palindrome (44555544).

The spelling of 40505040 in words is "forty million, five hundred five thousand, forty".