40559405800 has 384 divisors, whose sum is σ = 107993088000. Its totient is φ = 14089420800.

The previous prime is 40559405797. The next prime is 40559405801. The reversal of 40559405800 is 850495504.

40559405800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (40559405801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319365337 + ... + 319365463.

It is an arithmetic number, because the mean of its divisors is an integer number (281232000).

Almost surely, 2^40559405800 is an apocalyptic number.

40559405800 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 40559405800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544000).

40559405800 is an abundant number, since it is smaller than the sum of its proper divisors (67433682200).

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

40559405800 is a wasteful number, since it uses less digits than its factorization.

40559405800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 40559405800 in words is "forty billion, five hundred fifty-nine million, four hundred five thousand, eight hundred".