10400340440 has 128 divisors (see below), whose sum is σ = 27505336320. Its totient is φ = 3464985600.

The previous prime is 10400340413. The next prime is 10400340449. The reversal of 10400340440 is 4404300401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400340449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3109409 + ... + 3112751.

It is an arithmetic number, because the mean of its divisors is an integer number (214885440).

Almost surely, 2^10400340440 is an apocalyptic number.

10400340440 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 10400340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752668160).

10400340440 is an abundant number, since it is smaller than the sum of its proper divisors (17104995880).

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

10400340440 is a wasteful number, since it uses less digits than its factorization.

10400340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10400340440 its reverse (4404300401), we get a palindrome (14804640841).

The spelling of 10400340440 in words is "ten billion, four hundred million, three hundred forty thousand, four hundred forty".