10120440040 has 16 divisors (see below), whose sum is σ = 22770990180. Its totient is φ = 4048176000.

The previous prime is 10120440037. The next prime is 10120440061. The reversal of 10120440040 is 4004402101.

10120440040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9592635364 + 527804676 = 97942^2 + 22974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10120439996 and 10120440023.

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 3 ways as a sum of consecutive naturals, for example, 126505461 + ... + 126505540.

Almost surely, 2^10120440040 is an apocalyptic number.

10120440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120440040 is an abundant number, since it is smaller than the sum of its proper divisors (12650550140).

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

10120440040 is a wasteful number, since it uses less digits than its factorization.

10120440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253011012 (or 253011008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10120440040 its reverse (4004402101), we get a palindrome (14124842141).

The spelling of 10120440040 in words is "ten billion, one hundred twenty million, four hundred forty thousand, forty".