40029520 has 20 divisors (see below), whose sum is σ = 93068820. Its totient is φ = 16011776.

The previous prime is 40029503. The next prime is 40029527. The reversal of 40029520 is 2592004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8714304 + 31315216 = 2952^2 + 5596^2 .

It is a tau number, because it is divible by the number of its divisors (20).

40029520 is a modest number, since divided by 29520 gives 400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 40029491 and 40029500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40029527) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 250105 + ... + 250264.

It is an arithmetic number, because the mean of its divisors is an integer number (4653441).

Almost surely, 2^40029520 is an apocalyptic number.

40029520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40029520 is an abundant number, since it is smaller than the sum of its proper divisors (53039300).

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

40029520 is a wasteful number, since it uses less digits than its factorization.

40029520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500382 (or 500376 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 40029520 is about 6326.8886508299. Note that the first 3 decimals coincide. The cubic root of 40029520 is about 342.0792994642.

The spelling of 40029520 in words is "forty million, twenty-nine thousand, five hundred twenty".