40205000000 has 448 divisors, whose sum is σ = 117871573248. Its totient is φ = 13440000000.

The previous prime is 40204999993. The next prime is 40205000023. The reversal of 40205000000 is 50204.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934999979 + ... + 935000021.

Almost surely, 2^40205000000 is an apocalyptic number.

40205000000 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 40205000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58935786624).

40205000000 is an abundant number, since it is smaller than the sum of its proper divisors (77666573248).

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

40205000000 is an frugal number, since it uses more digits than its factorization.

40205000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

Adding to 40205000000 its reverse (50204), we get a palindrome (40205050204).

The spelling of 40205000000 in words is "forty billion, two hundred five million", and thus it is an aban number.