40606716500 has 144 divisors (see below), whose sum is σ = 103745560464. Its totient is φ = 13843872000.

The previous prime is 40606716481. The next prime is 40606716509. The reversal of 40606716500 is 561760604.

It can be written as a sum of positive squares in 8 ways, for example, as 33908276164 + 6698440336 = 184142^2 + 81844^2 .

It is a super-2 number, since 2×40606716500² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40606716509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4429922 + ... + 4439078.

It is an arithmetic number, because the mean of its divisors is an integer number (720455281).

Almost surely, 2^40606716500 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 40606716500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51872780232).

40606716500 is an abundant number, since it is smaller than the sum of its proper divisors (63138843964).

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

40606716500 is a wasteful number, since it uses less digits than its factorization.

40606716500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9371 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 40606716500 in words is "forty billion, six hundred six million, seven hundred sixteen thousand, five hundred".