40334110440 has 256 divisors, whose sum is σ = 132528614400. Its totient is φ = 9760518144.

The previous prime is 40334110429. The next prime is 40334110459. The reversal of 40334110440 is 4401143304.

It is a super-2 number, since 2×40334110440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40334110440.

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, 36108762 + ... + 36109878.

It is an arithmetic number, because the mean of its divisors is an integer number (517689900).

Almost surely, 2^40334110440 is an apocalyptic number.

40334110440 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 40334110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66264307200).

40334110440 is an abundant number, since it is smaller than the sum of its proper divisors (92194503960).

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

40334110440 is a wasteful number, since it uses less digits than its factorization.

40334110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40334110440 its reverse (4401143304), we get a palindrome (44735253744).

The spelling of 40334110440 in words is "forty billion, three hundred thirty-four million, one hundred ten thousand, four hundred forty".