10400444340440 has 512 divisors, whose sum is σ = 30094767267840. Its totient is φ = 3141586944000.

The previous prime is 10400444340427. The next prime is 10400444340449. The reversal of 10400444340440 is 4404344400401.

It is a junction number, because it is equal to n+sod(n) for n = 10400444340397 and 10400444340406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400444340449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3111109409 + ... + 3111112751.

It is an arithmetic number, because the mean of its divisors is an integer number (58778842320).

Almost surely, 2^{10400444340440} is an apocalyptic number.

10400444340440 is a gapful number since it is divisible by the number (10) 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 10400444340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15047383633920).

10400444340440 is an abundant number, since it is smaller than the sum of its proper divisors (19694322927400).

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

10400444340440 is a wasteful number, since it uses less digits than its factorization.

10400444340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 10400444340440 its reverse (4404344400401), we get a palindrome (14804788740841).

It can be divided in two parts, 104004 and 44340440, that added together give a palindrome (44444444).

The spelling of 10400444340440 in words is "ten trillion, four hundred billion, four hundred forty-four million, three hundred forty thousand, four hundred forty".