40205020 has 48 divisors (see below), whose sum is σ = 88320960. Its totient is φ = 15353856.

The previous prime is 40205003. The next prime is 40205029. The reversal of 40205020 is 2050204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40205029) 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, 59404 + ... + 60076.

It is an arithmetic number, because the mean of its divisors is an integer number (1840020).

Almost surely, 2^40205020 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 40205020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44160480).

40205020 is an abundant number, since it is smaller than the sum of its proper divisors (48115940).

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

40205020 is a wasteful number, since it uses less digits than its factorization.

40205020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 40205020 is about 6340.7428586878. The cubic root of 40205020 is about 342.5784926748.

Adding to 40205020 its reverse (2050204), we get a palindrome (42255224).

The spelling of 40205020 in words is "forty million, two hundred five thousand, twenty".