40517820 has 168 divisors, whose sum is σ = 146164704. Its totient is φ = 9237888.

The previous prime is 40517819. The next prime is 40517821. The reversal of 40517820 is 2871504.

It is an interprime number because it is at equal distance from previous prime (40517819) and next prime (40517821).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40517821) 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 55 ways as a sum of consecutive naturals, for example, 101862 + ... + 102258.

It is an arithmetic number, because the mean of its divisors is an integer number (870028).

Almost surely, 2^40517820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40517820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73082352).

40517820 is an abundant number, since it is smaller than the sum of its proper divisors (105646884).

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

40517820 is a wasteful number, since it uses less digits than its factorization.

40517820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 40517820 is about 6365.3609481317. The cubic root of 40517820 is about 343.4646328073.

It can be divided in two parts, 405 and 17820, that added together give a square (18225 = 135²).

The spelling of 40517820 in words is "forty million, five hundred seventeen thousand, eight hundred twenty".