10411144040 has 64 divisors (see below), whose sum is σ = 26036847360. Its totient is φ = 3714430720.

The previous prime is 10411144039. The next prime is 10411144061. The reversal of 10411144040 is 4044111401.

It is a happy number.

10411144040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 199904 + ... + 246543.

It is an arithmetic number, because the mean of its divisors is an integer number (406825740).

Almost surely, 2^10411144040 is an apocalyptic number.

10411144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10411144040 is an abundant number, since it is smaller than the sum of its proper divisors (15625703320).

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

10411144040 is a wasteful number, since it uses less digits than its factorization.

10411144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446522 (or 446518 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10411144040 its reverse (4044111401), we get a palindrome (14455255441).

It can be divided in two parts, 10411 and 144040, that added together give a palindrome (154451).

The spelling of 10411144040 in words is "ten billion, four hundred eleven million, one hundred forty-four thousand, forty".