40000441340340 has 480 divisors, whose sum is σ = 139842131093280. Its totient is φ = 9503547346944.

The previous prime is 40000441340333. The next prime is 40000441340357. The reversal of 40000441340340 is 4304314400004.

It can be written as a sum of positive squares in 16 ways, for example, as 27750749338404 + 12249692001936 = 5267898^2 + 3499956^2 .

It is a super-2 number, since 2×40000441340340² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2172392974 + ... + 2172411386.

It is an arithmetic number, because the mean of its divisors is an integer number (291337773111).

Almost surely, 2^{40000441340340} 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 40000441340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69921065546640).

40000441340340 is an abundant number, since it is smaller than the sum of its proper divisors (99841689752940).

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

40000441340340 is a wasteful number, since it uses less digits than its factorization.

40000441340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22033 (or 22022 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40000441340340 its reverse (4304314400004), we get a palindrome (44304755740344).

The spelling of 40000441340340 in words is "forty trillion, four hundred forty-one million, three hundred forty thousand, three hundred forty".