40435820 has 48 divisors (see below), whose sum is σ = 88941888. Its totient is φ = 15425280.

The previous prime is 40435793. The next prime is 40435823. The reversal of 40435820 is 2853404.

It is a self number, because there is not a number n which added to its sum of digits gives 40435820.

It is not an unprimeable number, because it can be changed into a prime (40435823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38705 + ... + 39735.

It is an arithmetic number, because the mean of its divisors is an integer number (1852956).

Almost surely, 2^40435820 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 40435820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44470944).

40435820 is an abundant number, since it is smaller than the sum of its proper divisors (48506068).

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

40435820 is a wasteful number, since it uses less digits than its factorization.

40435820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 40435820 is about 6358.9165743859. The cubic root of 40435820 is about 343.2327749828.

The spelling of 40435820 in words is "forty million, four hundred thirty-five thousand, eight hundred twenty".