410044040040 has 32 divisors (see below), whose sum is σ = 1230132120480. Its totient is φ = 109345077312.

The previous prime is 410044040039. The next prime is 410044040041. The reversal of 410044040040 is 40040440014.

410044040040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (410044040039) and next prime (410044040041).

It is a super-3 number, since 3×410044040040³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 410044039989 and 410044040016.

It is not an unprimeable number, because it can be changed into a prime (410044040041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1708516714 + ... + 1708516953.

It is an arithmetic number, because the mean of its divisors is an integer number (38441628765).

Almost surely, 2^410044040040 is an apocalyptic number.

410044040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410044040040 is an abundant number, since it is smaller than the sum of its proper divisors (820088080440).

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

410044040040 is a wasteful number, since it uses less digits than its factorization.

410044040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417033681 (or 3417033677 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 410044040040 its reverse (40040440014), we get a palindrome (450084480054).

The spelling of 410044040040 in words is "four hundred ten billion, forty-four million, forty thousand, forty".