10420340440 has 64 divisors (see below), whose sum is σ = 24488697600. Its totient is φ = 3983075712.

The previous prime is 10420340429. The next prime is 10420340459. The reversal of 10420340440 is 4404302401.

10420340440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1065091 + ... + 1074829.

It is an arithmetic number, because the mean of its divisors is an integer number (382635900).

Almost surely, 2^10420340440 is an apocalyptic number.

10420340440 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 10420340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12244348800).

10420340440 is an abundant number, since it is smaller than the sum of its proper divisors (14068357160).

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

10420340440 is a wasteful number, since it uses less digits than its factorization.

10420340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10936 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10420340440 its reverse (4404302401), we get a palindrome (14824642841).

The spelling of 10420340440 in words is "ten billion, four hundred twenty million, three hundred forty thousand, four hundred forty".